{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "5hIbr52I7Z7U"
   },
   "source": [
    "Deep Learning\n",
    "=============\n",
    "\n",
    "Assignment 1\n",
    "------------\n",
    "\n",
    "The objective of this assignment is to learn about simple data curation practices, and familiarize you with some of the data we'll be reusing later.\n",
    "\n",
    "This notebook uses the [notMNIST](http://yaroslavvb.blogspot.com/2011/09/notmnist-dataset.html) dataset to be used with python experiments. This dataset is designed to look like the classic [MNIST](http://yann.lecun.com/exdb/mnist/) dataset, while looking a little more like real data: it's a harder task, and the data is a lot less 'clean' than MNIST."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "cellView": "both",
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     }
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "apJbCsBHl-2A"
   },
   "outputs": [],
   "source": [
    "# These are all the modules we'll be using later. Make sure you can import them\n",
    "# before proceeding further.\n",
    "from __future__ import print_function\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import os\n",
    "import sys\n",
    "import tarfile\n",
    "from IPython.display import display, Image\n",
    "from scipy import ndimage\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from six.moves.urllib.request import urlretrieve\n",
    "from six.moves import cPickle as pickle\n",
    "\n",
    "# Need to use matplotlib inline to produce plots inside jupyter notebook\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "jNWGtZaXn-5j"
   },
   "source": [
    "First, we'll download the dataset to our local machine. The data consists of characters rendered in a variety of fonts on a 28x28 image. The labels are limited to 'A' through 'J' (10 classes). The training set has about 500k and the testset 19000 labelled examples. Given these sizes, it should be possible to train models quickly on any machine."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/Users/mgalarny/Desktop/Python_Tutorials/TensorFlow/Udacity\r\n"
     ]
    }
   ],
   "source": [
    "!pwd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3 align='Middle'>The following cell will not run without internet connection. Be sure to acquire the files in another way</h3>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "cellView": "both",
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     },
     "output_extras": [
      {
       "item_id": 1
      }
     ]
    },
    "colab_type": "code",
    "collapsed": false,
    "executionInfo": {
     "elapsed": 186058,
     "status": "ok",
     "timestamp": 1444485672507,
     "user": {
      "color": "#1FA15D",
      "displayName": "Vincent Vanhoucke",
      "isAnonymous": false,
      "isMe": true,
      "permissionId": "05076109866853157986",
      "photoUrl": "//lh6.googleusercontent.com/-cCJa7dTDcgQ/AAAAAAAAAAI/AAAAAAAACgw/r2EZ_8oYer4/s50-c-k-no/photo.jpg",
      "sessionId": "2a0a5e044bb03b66",
      "userId": "102167687554210253930"
     },
     "user_tz": 420
    },
    "id": "EYRJ4ICW6-da",
    "outputId": "0d0f85df-155f-4a89-8e7e-ee32df36ec8d"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found and verified notMNIST_large.tar.gz\n",
      "Found and verified notMNIST_small.tar.gz\n"
     ]
    }
   ],
   "source": [
    "url = 'http://commondatastorage.googleapis.com/books1000/'\n",
    "last_percent_reported = None\n",
    "\n",
    "def download_progress_hook(count, blockSize, totalSize):\n",
    "    \"\"\"A hook to report the progress of a download. This is mostly intended for users with\n",
    "    slow internet connections. Reports every 1% change in download progress.\n",
    "    \"\"\"\n",
    "    global last_percent_reported\n",
    "    percent = int(count * blockSize * 100 / totalSize)\n",
    "\n",
    "    if last_percent_reported != percent:\n",
    "        if percent % 5 == 0:\n",
    "            sys.stdout.write(\"%s%%\" % percent)\n",
    "            sys.stdout.flush()\n",
    "        else:\n",
    "            sys.stdout.write(\".\")\n",
    "            sys.stdout.flush()\n",
    "        last_percent_reported = percent\n",
    "        \n",
    "def maybe_download(filename, expected_bytes, force=False):\n",
    "    \"\"\"Download a file if not present, and make sure it's the right size.\"\"\"\n",
    "    if force or not os.path.exists(filename):\n",
    "        print('Attempting to download:', filename) \n",
    "        filename, _ = urlretrieve(url + filename, filename, reporthook=download_progress_hook)\n",
    "        print('\\nDownload Complete!')\n",
    "    statinfo = os.stat(filename)\n",
    "    if statinfo.st_size == expected_bytes:\n",
    "        print('Found and verified', filename)\n",
    "    else:\n",
    "        raise Exception('Failed to verify ' + filename + '. Can you get to it with a browser?')\n",
    "    return filename\n",
    "\n",
    "train_filename = maybe_download('notMNIST_large.tar.gz', 247336696)\n",
    "test_filename = maybe_download('notMNIST_small.tar.gz', 8458043)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "cC3p0oEyF8QT"
   },
   "source": [
    "Extract the dataset from the compressed .tar.gz file.\n",
    "This should give you a set of directories, labelled A through J."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "cellView": "both",
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     },
     "output_extras": [
      {
       "item_id": 1
      }
     ]
    },
    "colab_type": "code",
    "collapsed": false,
    "executionInfo": {
     "elapsed": 186055,
     "status": "ok",
     "timestamp": 1444485672525,
     "user": {
      "color": "#1FA15D",
      "displayName": "Vincent Vanhoucke",
      "isAnonymous": false,
      "isMe": true,
      "permissionId": "05076109866853157986",
      "photoUrl": "//lh6.googleusercontent.com/-cCJa7dTDcgQ/AAAAAAAAAAI/AAAAAAAACgw/r2EZ_8oYer4/s50-c-k-no/photo.jpg",
      "sessionId": "2a0a5e044bb03b66",
      "userId": "102167687554210253930"
     },
     "user_tz": 420
    },
    "id": "H8CBE-WZ8nmj",
    "outputId": "ef6c790c-2513-4b09-962e-27c79390c762"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "notMNIST_large already present - Skipping extraction of notMNIST_large.tar.gz.\n",
      "['notMNIST_large/A', 'notMNIST_large/B', 'notMNIST_large/C', 'notMNIST_large/D', 'notMNIST_large/E', 'notMNIST_large/F', 'notMNIST_large/G', 'notMNIST_large/H', 'notMNIST_large/I', 'notMNIST_large/J']\n",
      "notMNIST_small already present - Skipping extraction of notMNIST_small.tar.gz.\n",
      "['notMNIST_small/A', 'notMNIST_small/B', 'notMNIST_small/C', 'notMNIST_small/D', 'notMNIST_small/E', 'notMNIST_small/F', 'notMNIST_small/G', 'notMNIST_small/H', 'notMNIST_small/I', 'notMNIST_small/J']\n"
     ]
    }
   ],
   "source": [
    "num_classes = 10\n",
    "np.random.seed(133)\n",
    "\n",
    "def maybe_extract(filename, force=False):\n",
    "    root = os.path.splitext(os.path.splitext(filename)[0])[0]  # remove .tar.gz\n",
    "    if os.path.isdir(root) and not force:\n",
    "    # You may override by setting force=True.\n",
    "        print('%s already present - Skipping extraction of %s.' % (root, filename))\n",
    "    else:\n",
    "        print('Extracting data for %s. This may take a while. Please wait.' % root)\n",
    "        tar = tarfile.open(filename)\n",
    "        sys.stdout.flush()\n",
    "        tar.extractall()\n",
    "        tar.close()\n",
    "    data_folders = [os.path.join(root, d) for d in sorted(os.listdir(root))\n",
    "        if os.path.isdir(os.path.join(root, d))]\n",
    "    if len(data_folders) != num_classes:\n",
    "        raise Exception(\n",
    "            'Expected %d folders, one per class. Found %d instead.' % (\n",
    "            num_classes, len(data_folders)))\n",
    "    print(data_folders)\n",
    "    return data_folders\n",
    "  \n",
    "train_folders = maybe_extract(train_filename)\n",
    "test_folders = maybe_extract(test_filename)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "4riXK3IoHgx6"
   },
   "source": [
    "---\n",
    "Problem 1\n",
    "---------\n",
    "\n",
    "Let's take a peek at some of the data to make sure it looks sensible. Each exemplar should be an image of a character A through J rendered in a different font. Display a sample of the images that we just downloaded. Hint: you can use the package IPython.display.\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import random\n",
    "import hashlib\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def disp_samples(data_folders, sample_size):\n",
    "    for folder in data_folders:\n",
    "        print(folder)\n",
    "        image_files = os.listdir(folder)\n",
    "        image_sample = random.sample(image_files, sample_size)\n",
    "        for image in image_sample:\n",
    "            image_file = os.path.join(folder, image)\n",
    "            i = Image(filename=image_file)\n",
    "            display(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "notMNIST_large/A\n"
     ]
    },
    {
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     "text": [
      "notMNIST_large/B\n"
     ]
    },
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "notMNIST_large/C\n"
     ]
    },
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "notMNIST_large/D\n"
     ]
    },
    {
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "notMNIST_large/E\n"
     ]
    },
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     "metadata": {},
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "notMNIST_large/F\n"
     ]
    },
    {
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     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "notMNIST_large/G\n"
     ]
    },
    {
     "data": {
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     "text": [
      "notMNIST_large/H\n"
     ]
    },
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     "text": [
      "notMNIST_large/I\n"
     ]
    },
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     "text": [
      "notMNIST_large/J\n"
     ]
    },
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   "source": [
    "disp_samples(train_folders, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "notMNIST_small/A\n"
     ]
    },
    {
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     "text": [
      "notMNIST_small/B\n"
     ]
    },
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "notMNIST_small/C\n"
     ]
    },
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     "text": [
      "notMNIST_small/D\n"
     ]
    },
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     "text": [
      "notMNIST_small/E\n"
     ]
    },
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    },
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    {
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     "text": [
      "notMNIST_small/G\n"
     ]
    },
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     "text": [
      "notMNIST_small/H\n"
     ]
    },
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    },
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    },
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   ],
   "source": [
    "disp_samples(test_folders, 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "PBdkjESPK8tw"
   },
   "source": [
    "Now let's load the data in a more manageable format. Since, depending on your computer setup you might not be able to fit it all in memory, we'll load each class into a separate dataset, store them on disk and curate them independently. Later we'll merge them into a single dataset of manageable size.\n",
    "\n",
    "We'll convert the entire dataset into a 3D array (image index, x, y) of floating point values, normalized to have approximately zero mean and standard deviation ~0.5 to make training easier down the road. \n",
    "\n",
    "A few images might not be readable, we'll just skip them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "cellView": "both",
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     },
     "output_extras": [
      {
       "item_id": 30
      }
     ]
    },
    "colab_type": "code",
    "collapsed": false,
    "executionInfo": {
     "elapsed": 399874,
     "status": "ok",
     "timestamp": 1444485886378,
     "user": {
      "color": "#1FA15D",
      "displayName": "Vincent Vanhoucke",
      "isAnonymous": false,
      "isMe": true,
      "permissionId": "05076109866853157986",
      "photoUrl": "//lh6.googleusercontent.com/-cCJa7dTDcgQ/AAAAAAAAAAI/AAAAAAAACgw/r2EZ_8oYer4/s50-c-k-no/photo.jpg",
      "sessionId": "2a0a5e044bb03b66",
      "userId": "102167687554210253930"
     },
     "user_tz": 420
    },
    "id": "h7q0XhG3MJdf",
    "outputId": "92c391bb-86ff-431d-9ada-315568a19e59"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "notMNIST_large/A.pickle already present - Skipping pickling.\n",
      "notMNIST_large/B.pickle already present - Skipping pickling.\n",
      "notMNIST_large/C.pickle already present - Skipping pickling.\n",
      "notMNIST_large/D.pickle already present - Skipping pickling.\n",
      "notMNIST_large/E.pickle already present - Skipping pickling.\n",
      "notMNIST_large/F.pickle already present - Skipping pickling.\n",
      "notMNIST_large/G.pickle already present - Skipping pickling.\n",
      "notMNIST_large/H.pickle already present - Skipping pickling.\n",
      "notMNIST_large/I.pickle already present - Skipping pickling.\n",
      "notMNIST_large/J.pickle already present - Skipping pickling.\n",
      "notMNIST_small/A.pickle already present - Skipping pickling.\n",
      "notMNIST_small/B.pickle already present - Skipping pickling.\n",
      "notMNIST_small/C.pickle already present - Skipping pickling.\n",
      "notMNIST_small/D.pickle already present - Skipping pickling.\n",
      "notMNIST_small/E.pickle already present - Skipping pickling.\n",
      "notMNIST_small/F.pickle already present - Skipping pickling.\n",
      "notMNIST_small/G.pickle already present - Skipping pickling.\n",
      "notMNIST_small/H.pickle already present - Skipping pickling.\n",
      "notMNIST_small/I.pickle already present - Skipping pickling.\n",
      "notMNIST_small/J.pickle already present - Skipping pickling.\n"
     ]
    }
   ],
   "source": [
    "image_size = 28  # Pixel width and height.\n",
    "pixel_depth = 255.0  # Number of levels per pixel.\n",
    "\n",
    "def load_letter(folder, min_num_images):\n",
    "    \"\"\"Load the data for a single letter label.\"\"\"\n",
    "    image_files = os.listdir(folder)\n",
    "    dataset = np.ndarray(shape=(len(image_files), image_size, image_size),\n",
    "                         dtype=np.float32)\n",
    "    print(folder)\n",
    "    num_images = 0\n",
    "    for image in image_files:\n",
    "        image_file = os.path.join(folder, image)\n",
    "        try:\n",
    "            image_data = (ndimage.imread(image_file).astype(float) - \n",
    "                    pixel_depth / 2) / pixel_depth\n",
    "            if image_data.shape != (image_size, image_size):\n",
    "                raise Exception('Unexpected image shape: %s' % str(image_data.shape))\n",
    "            dataset[num_images, :, :] = image_data\n",
    "            num_images = num_images + 1\n",
    "        except IOError as e:\n",
    "            print('Could not read:', image_file, ':', e, '- it\\'s ok, skipping.')\n",
    "    \n",
    "    dataset = dataset[0:num_images, :, :]\n",
    "    if num_images < min_num_images:\n",
    "        raise Exception('Many fewer images than expected: %d < %d' %\n",
    "                    (num_images, min_num_images))\n",
    "    \n",
    "    print('Full dataset tensor:', dataset.shape)\n",
    "    print('Mean:', np.mean(dataset))\n",
    "    print('Standard deviation:', np.std(dataset))\n",
    "    return dataset\n",
    "        \n",
    "def maybe_pickle(data_folders, min_num_images_per_class, force=False):\n",
    "    dataset_names = []\n",
    "    for folder in data_folders:\n",
    "        set_filename = folder + '.pickle'\n",
    "        dataset_names.append(set_filename)\n",
    "        if os.path.exists(set_filename) and not force:\n",
    "            # You may override by setting force=True.\n",
    "            print('%s already present - Skipping pickling.' % set_filename)\n",
    "        else:\n",
    "            print('Pickling %s.' % set_filename)\n",
    "            dataset = load_letter(folder, min_num_images_per_class)\n",
    "            try:\n",
    "                with open(set_filename, 'wb') as f:\n",
    "                    pickle.dump(dataset, f, pickle.HIGHEST_PROTOCOL)\n",
    "            except Exception as e:\n",
    "                print('Unable to save data to', set_filename, ':', e)\n",
    "    return dataset_names\n",
    "\n",
    "train_datasets = maybe_pickle(train_folders, 45000)\n",
    "test_datasets = maybe_pickle(test_folders, 1800)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3 align=\"left\"> Display Sample Image </h3>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def ipython_display_samples(folders):\n",
    "    print (folders)\n",
    "    for i in folders:\n",
    "        sample = np.random.choice(os.listdir(i), 1)[0]\n",
    "        display(Image(os.path.join(i, sample)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['notMNIST_large/A', 'notMNIST_large/B', 'notMNIST_large/C', 'notMNIST_large/D', 'notMNIST_large/E', 'notMNIST_large/F', 'notMNIST_large/G', 'notMNIST_large/H', 'notMNIST_large/I', 'notMNIST_large/J']\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAABmUlEQVR4nG2SMW+OURTHf/c+t9VF\nKAnCRGhikQibiYGIkurbrZ9Awmo28ElUIphE4gsYBIvEZGCQlHagYqjX89zzMzzv2/K2Z7v3f87v\n/M/JgT4aBlbVzhUy/0di7xerWv06S+o/x0k2v54SQI4jF3eUZs7XUG1doZkQSfn1iLu2f8TdBuR4\nhECOQ5fSZGnm2E9DbWMXbuZJtD13yy9AKqWUmamFftTqImWyFD5Z//WbgByn7pgwfzhxtzZgWj/9\nPdnnF+6p6sPj1Z47oBmNUtPlbth1w/ry8xsqoDe3Xc4NDcPNuXTLTg3Xx34Lt+20+q5w+IfRc1MD\nGYJ5AHnVTa+9sALBoo42s2Fo9QbT6YpVDdcOkICGZTsNN46S08xHq9o5SA0ZuK4QvF9NkX8/RkAW\nBRL7vlm19X6ZKdPlTI3Y8luYt2pEnOsne26nVpdSKXLNyCTiwWaS7Elyv4dnAXv6bU9EuD4LXIiR\n1rVt27bt+OUgZa6m6Js1pZRSyuhwZEHK292oGq4e5Oyf3SQ1XM7zU7HzIgDCpb+87F/rYwYuuAAA\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAABB0lEQVR4nH3Ru0oEQRAF0FvVM8YG\n4isyMDISs80FExMFA1PBWKP1C1T8AX9ARDBR0HizxUBFhRUDXyz4YEVwAgXd7e5rKDjVU+mhuql7\nwb8JrGGJve/itrE+CVGghIEk+bM/DlUYwxiyhZOpaKKo097AzqCJAJD7idUkwmEujYKxNBJvafQ4\nyBIUQ97aNJCMUMmv5jvGs6JZpo9rtQctb7Jzc986v/gUjWWML+3Lxl1XNNjBR75ujcDB+DOGyKH6\n2WxwBqpzQj96tBgSd6oGt32dTMj5/pWqVqarWhmuaqWowtMq3E0hu+5wz6oMpKCvuWzFJ6KqxcbM\n+7/KCODLfzy1m8fPKvEXrCqNz5Ow7xUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAAA1UlEQVR4nLWSv0oCUBSHf+fcAylh\nLjZIg05KL9Aq+Qo+RgTtQeBzNDY0BI3O0ivUFoKEm62B4D3n19Ki3tvmN56P85eDBHTuV8y+S+bi\n5kx9OLarCybdA/3rU3u47bxO+m0X7ED7XgoY3DRRQsVc4YF06BiwBCTAy7nF6PFleRoAmnNpjz8Y\nfK45e5SnN2Gl7GA4Oq84gMFPq0nP3JzUeioQtUTFP4c41m0DqK5pGgKpvAneyXWjXFTE7i6nX4NW\n+TUh6M14QNBfuipJth9reOyB5fznFyzieJh1vzYSAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAABcUlEQVR4nHWTMWsUURRGz71vJoXK\nZlItIkLSrKAY9geILjZibEWwtExhoQhqwMIy+AsUkbSSQrCVQKKNlRDQaFSshKSJccwq6yTzPotV\nspE3tz2cW3zfvVa2AECAsbPxZmVlPZrXANbVsSft6P1LZUY+cfLc+cOD1wtPByEKIPBQlcoWBhjF\n3A/p/QWCAT7GnCqVBcFDyIIx/Um17uMAGbf0+58JntPZUKUHOJBxYxRCzlXt7WqWkIA4L7Wr7cnh\n5v/GWMD2iptJKJZ3gnPlaApG//IWqX0xBTE+QqSXhPABGacazG0wjjeYfTDGG+Aw9QZ4BOBnEooC\nxGaDeQKLrDWYHTBepaDHydOYf3+eDv7seB159jkd/DWU9edx2C9yOHm83KvhznqAjNujZVvO1FdV\nmsfBx7i3f2AhOJ13quPdYdOBR6Oneej6lrTaIxhkXdozBLxbZgqtzpmZYrD8eLEKUWAH3kG/vq0u\nvVjT33f4A7d5mVhZacdLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAAApUlEQVR4nJ1SOw5CMQxzSAcYQJyE\nizCxsnOIdz5GBiTEQRBiAhoz8ZoUtRLPUywrPydgA8bzYoYOumIKzEpIZSW6OsQ8iJT9Q0cmtyfc\ngJmrXk9FyQStHsiPVGUS9FQCu7zlG+bl4RgzNyXMum6bYGo/PUP7ehWHVDm0u4+c6YSpDhmjmJE9\n/ePYoSysW9aLgq07NuQajfegDE1vQX01HwyETH/qD5IYZCzrFG8ZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAABYklEQVR4nHWSvUpcURSFv33ONRrx\nBwXBVxAi2MwrCKZP2kC6PEKwMYUPkCptqjQWIUEbixRpFERiE0wnWAQnBBWdOH/37GVxZ8y9d8av\nOM1irXX2ZhsQJHu2vra6NDfDA6n18x0QmXj1rS1J8iGSXKcQaJzIlbq9XBWSW0wvPz5NGAFSzweh\n0wbI2PiapSjj+MuP3/96APjk4YIMWDxVrqTmC/v/GSaa6uV5zhv15bpsEGMMAzLeKyXt8FlJuTaZ\nLDmNqdefdt/Ocy53tVcJlLHiuZVcl3NYVcxCiJbNAHgHVUTlQC1tSMgMIBsruhelAkhnldT+xd6H\ntgk0jlzbxMc6YRY9dPYrSv/P/hYqOmVXa91yhN/eDSaSXH+f1FJjeRSrbShRElXbUEEYOoM9Kgof\nM1UmA8Jyp3U3Jrg4yeuri6Pno96Oe3GI+jVf+zLhwFT4uWmPxK7sNruS1PreGIm9BzW629duU9mw\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAABFklEQVR4nKWSvy5EURDGf3PuXYVs\nIqLyp9iIaDf7AioRJV7DY3iAjUrJE+j3CYRSdESn0FhBQe458yl2z7XcG5H4yvnNzDkz8xEIu2fX\n40o/FTUsfeNkWwZyvhQMgHJz1HOZQUFD5VGv6oDs6e49x6waLMoAniUp6WIVqwsYKSpqWC4AeDh+\nKJVhES1nTTSGVLclkUiFZwh1IRAoCijLFiQu516Dd2+QJFXaaR2lGQLMANQOpUZl8K3T2SV+g0Z3\n/Q9vtrQVb/cOWFqbz0mNUSa7lRRa2+Yf/hvab7AV51GWZkxUHzu8TOoPl6OnrHxAO9+fGuz2o36g\nNlj/UTEmd2+4WoLBlVySxxlNMy14Z++gv9JtMQKfBwi1cVTN/eUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAACQ0lEQVR4nE2STUhUYRSGn/N9914d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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAAA00lEQVR4nO2TPWpCURCFz/w8G9HS\n9KIgWFho6QoshJQp3EFWmSJVBEGwEWwUREnAxkZ9c1I8jfeBC0jhaW7xzZ3TfCOt5RmiIkhDBpG9\nusAUIFNKqCKgUh3VXpr9bqX08zT/Wu0OnwAAsf6MSaYDvS4yd1MMDoyCBH/aUHOzW1OGzR2ucS3R\n4gkw7cxL8HGe8B9DQyKY4E8Cd9dUE/I4hoq5FxNiw8WdBfeTGgSA1N+yRrPX8VIZt7Pl5vsDbeYk\nI1I185xk8N2Ji0K0dA4KRrBy+QXB0H4U+5v+4gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAABqUlEQVR4nGVSwU5TURScc8pTFAjB\nwCsb4wKj/oHRxARISuISomu/QRPYaPQXIKyNblzJlp1NrCaugYWJhoaWB1FqxdTaxva+e8ZFKc/e\nzupOJmdO5p4B4rVStd2qFB/HEEAw86RYabUPS6sxsFSlJ0nP6iJEsHjOKwUc03kzM+9YjoConPEj\n3UEO5r0hhz0HuL2M72Jys0kjaY2NCYhgfKNhJI3NzUkRxvNzeat9/VAXAhDOzN+M9WS/WBOo4gy9\nl0Z9PqICqAgAGgEAwonbN2ZR2//0WzAIwcVnSS/Kt+ejCPGa3qfOpd74JtSihJ3Um/n0r9WGbFfq\nNJI0/ng4tJRXHy1dm5LT5N2raihixBPReK7TMmggCogLlyL3x0M1HZpceHB3eqr762B7K5Fg7vJL\n9uB5uhzkwFM6572ZT7v8OaeDchM5GEhS0OiGSV50erbGz3fw31JRgdmt+/dmr3TrX7ZLzUxTDU00\nmxROL1yPcVL++F0I1f4JAQjG1htndVkfQ5h+i9Y/1dvwY6JKVsmDaFATFI76ZU4Koa0gv1ZK2q3D\n96v5c+0fpUgXP71SwDkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# train folders\n",
    "ipython_display_samples(train_folders)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['notMNIST_small/A', 'notMNIST_small/B', 'notMNIST_small/C', 'notMNIST_small/D', 'notMNIST_small/E', 'notMNIST_small/F', 'notMNIST_small/G', 'notMNIST_small/H', 'notMNIST_small/I', 'notMNIST_small/J']\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAABtUlEQVR4nGWSv2tUQRSFv5k3q4k/\nogmRxMJVRIMxhA2C1mJlYyHRTqJNFiuLSCrxTwjYWVqnsJEgqGgTQbAwha0INlqtkn0vhLw3M8fi\nvXE38Xb3fpx7z9w7sC8eKqiJqO/72dEfigO4ZYeQZaWNGeTbQ9DEU8sIiKoL+RBssXomGsCa/5RZ\nObcIwN6zr0QQ/eGZS+cri+g9H6vzAcxCp0sGsHn8rLf7YeDBybr2dvagW8PlR9EB8HEBw4GZT60B\novnQu0pd7f8TXtuVJJXqHt6RJHldb6BjQ0FS1F6nrQZeSexWriip0kt7p4ZBsxbABJaPeQMyvI4d\nAGS8b4S3FaIkry+nWVeUFPXnnAWMH+siAxje/eJS46Pw9dNu3KxagOzv9xPj003bvG47upVuHHbL\nKvn5POnA6O6CmivZkbQTkVcOcE9SxQM2La3wDudXZtLncIP7idw76yfvES0g03/8c7S/Nh9tUrqy\nOx8ygODWXwQbd1CtLIItL95v+hhehSNxbjrNKLAszpQZQMw2P1ExdSLBHHthlVbj4U2vBe3xZKjA\nLU0UtXDk2wYxY4rcAZSHtvkLHs7uyDih3fIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAACFklEQVR4nF2RzYvOURiGr+c5Z7zy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\nb8iyTeXfXCePAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAABsklEQVR4nH3Su2uTURjH8e/znDdB\nUElJQSzVeJsEsWDsIg5RqKLg4iYIXfwfnHRQECEugpNb7CY6OmiKFBcv4AWX6uKlqRcsFuutSd6c\n9+eQaGlJ/PFM58N5Duc5xwBwi4wcruzZWsy3lxqzM9MNnAwAgjNeW5CkLEqSFm8exLxrjNyIylL9\nTSeTbm8jGCSdytSWGHM2P/Ow8TVfKk/sJvXw5XQdAieaSlO9ObMRAyA59kRpM+oUzv5f6kRNDWEh\nCSGExAiXpGZtL6x/pjTqGpZ094ElgfP1MQzOqh1VN3dWYu6OO4W3imqVCayKewAmlXVUx+kTr5DB\nPawvlnHxrh+BlzD4PgA39F/vYud/uIAG42sEyQB8jGDzALyzHGB8UOO7SjU3vHYKHhzgiGKqC+RW\nG+COU1NL7aPkVsbrOSav78Qwis/V1tJxLAlmYCFxTi7rx6194Ox4pVaM1SGMbhWqMS7rQxlwRh+o\nk+rzlUOb8ljxwOWPaqd6NNo7PTn3U5mkhdmnLz5JyvT74rreG5uzvfr+37fNNH91F+6965lnKlQm\nxkrD+fa3uZfT9xcJmfgD847MpZY1ij0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAABoUlEQVR4nHXSTUhUYRTG8f85545y\nc3IsaYaiEKpNteoDIQgjq0Vggn0xIAQV0ib6gCiiXauioGhlmzYRYUULF2YUrRo3Bn2Iq4lIhMQK\nrG56Vea+b4tBCLr32R1+8GyeIz3HyrffNdeK1yZfjv1iZamYfzb4B0uo58T4Vhh63Vq/iqc/V8+v\nwgCwgAcV2+j3kjMzE2h5PvSwvKTWeZQNyTZRACQgfHJo9BwBBHgXFUDxAoCvWXyn78DE/D1LFED4\nN4lVdO3h/i2JKimRgd7h0ccBaej8SKtc3dzl0tDLzI81r6aupNcq021+sH19KsLP5bzx+zMwChmT\nnRkYh8z4UgYu5JiPsjBQ1BYysDmmselrBjYtss5PZGBLLDvkRQbmv/nuqJKKzgrVUsfA7zQUv1qj\nM3YjdRWV9o+Nl+5/stRav+fp3emz6oL/yZKO6r5T22fVK6IqLLpwqSRIlh3h1u4P6lD1rmtSv091\nJ07NVKiF/Zs6eyrmAOTydeBk3JsDYEX57fjxhvrbysGLu27OWpK7kH8/8mWu0NCWfzQ8hzqAv33H\nhpMw5SO3AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAABTklEQVR4nJ2SsU5WQRSEv9k99xdI\nDPbGwpD8BQmdwYaHsOYhrHgDH8OCd/hrY2diKx2gsTRBAppAUO7ujsW9xnuJUniqPefMzMlkh7eu\n/msVrxL31L3LaK0hjV2bU2I9Tci/nx7QcfLIevJw7E57ADYfT7RfuNoufj3Kb75zcfEqSVnHCDAf\n3ElS9/09Bghjd6PCQgZsxWA1gAEGkFIDcFZH0MXU122tA/bbWR81zgWp7RxZYH36vHCNN6/y2kaD\n9HPCFFtbABfo+nrwOZWtDUpcQcoAni1zho41aO0u07q8CEp8oe7tN6EzILHjZrv3gTYWiweReWnb\n/jqTLf7RgOCm1Gydz5aJbDCkULYiBhPjVWwmgxBS/eNVgBgHYSrPsEDsqgfoeT5CD3dbero+fvZJ\nGfwuBdbHWG5PjiyZVdy0lv4ZsJQm8bwT1P8P9S8gDZ+0ltseqwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAABK0lEQVR4nH2SvU4CURCFv1kvLgQF\ndrHR2PkcPo6tnaUxsbCysbGz83VMfAkNySKoAY3sZY8F7LI/hFPec+ecOTMD5o6/lamCTKPYGQ75\nsWggmwDOuldx2CR7D8n9Hwy0Hb8dgmg49Vtk5SfDgSVBZICWJcYBZNO5banKsXDCQDZ6tEKxe9mR\ngRZIkpZ6KVXsf6xyz1xu42q+hTcgbwrveoAF7S5rj7XsK0avlrSQBVg8R0DrvLWXN1dU5ugk+Rpm\nQSNd2mwITOFNX6b2AZvIm4YOf2oNlWU19qn3vilrzuSck5U+F6T38JnVJyQMjJNrU9ivUNLulY1L\nyy6Pi2w6JzqbpLXDlKQsfTsd7DwwZ/42vgirEZDNn5LVW+urefHvAAHmjqplAASxM/4BfSsNgaPH\nS9sAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAACUUlEQVR4nDWSS0iUYRiFn+/7Zkal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\nJaH/ZMsggpZQUr4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAAB5ElEQVR4nDWRX05TQRSHvzl3ANEI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\npFgcF48x/gO5+ufJtpLnMgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAABbklEQVR4nG2RP0uVYRiHf/f9nFcS\nz9EGCRrMwKWWSFpK0CH6Bi4aNCpELS19gaAv0QeIoEGIoqHIP+ii4BDUGDRZCDqkHjjPe18Ndeqc\n9/HeHi6u33P/MUmSYc+WTsYuddSvXz/O+Np/mKsan350ChB8fzAz0VKzXlED+Y5Mkg0SU7VPEGyl\n5GbDmulWBjIP/0o+AF3LCZHyphqaZKZ9anq8GS1N5+6MTOjjWYsC6l4nW1SHO6JI1fg6mR4f5KaG\n6bo5jyvpk5wmRHOeDTt+rbpM7exSE2yXc8h0g4Dg8X840O2iJFm8LTzJ9Jkg8+5CaTq3r0oKrXUT\nTZi02A6L6mjvvNDWFpkeazbQrPfFhVm5TNtUNKE0N9azSAfvz9vAxAaZmnWl4kvXLBHAk6Hr982n\nZKA7VezO3KovBMFGGoJuEmL1uiT0rW7eObWvrBwRAIf3p9rVv1vLXl6rRyYvn2Zh5iPp53H34ovn\n9sf/DbSBqh0k7mwtAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAcCAAAAABXZoBIAAAAzklEQVR4nO3RIU4DURSF4f/cmXSa\nClQFAsMaAIeuYUtIkm6AlaBBkFSgSDUeCclgypS+dxAzCW3yOivgqpd8Ofee5EFhxMXqs329KRnB\ns1P2exHFm5NTjqIO+RFEYzia/EeAWgHZR5AEUlnr6dVZ+/JxRB+883p+eLv/bBvntPUlVQnrHKWV\n6m9G/67wH8SPh7YAFSnt5fJQobYIlvdtt9mRCWIymzWLcwIsZzSc2BuDiXgKJA462ZZEPOr09vqk\nmU4aqV9gbHfd9/ZrdfcLWTVSGyxjs0UAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# test folders\n",
    "ipython_display_samples(test_folders)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "vUdbskYE2d87"
   },
   "source": [
    "---\n",
    "Problem 2\n",
    "---------\n",
    "\n",
    "Let's verify that the data still looks good. Displaying a sample of the labels and images from the ndarray. Hint: you can use matplotlib.pyplot.\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def matplotlib_pyplot_samples(pkls):\n",
    "    \n",
    "    for idx, pkl in enumerate(pkls):\n",
    "        with open(pkl, 'r') as f:\n",
    "            dataset = pickle.load(f)\n",
    "    \n",
    "        sample = np.random.choice(len(dataset), 5)\n",
    "        plt.figure(idx+1)\n",
    "        \n",
    "        for i, k in enumerate(sample):\n",
    "            plt.subplot(1,5,i+1)\n",
    "            plt.imshow(dataset[k])       "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UcRw3wHHcvQC+C+AqjuN4ADun/593mM1mdHd3Y2hoCDabjUUTEoE1Gg1zaaKc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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x107032d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5YsYzVSihLDCl0+mkgFq6dCnXX389r732GmlpaUpej4smolmHaKbi9/vjEuRd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\nDow4qM1mM2azGb/fT3d3t0zqEu3W3n3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      "text/plain": [
       "<matplotlib.figure.Figure at 0x114baf290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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lyxa2b9+OzWaT29T5gtDLOhwOzpw5Q3V1Nf/+7/8uMxtGo1G0Wi0rV67k9ttv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\nublZGNw+oYYmwhNBhJD7fL4pqoy5Mhr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6muXLl5OWlkZWVtaUXOfCiCcCfs6ePUtzczPd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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114493890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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OXjGchEOMCY1GIyNyhTBXap5Kj5/BwUGampouCCfiGYgU2CIhVaR4AqUcCB/j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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114cd6f50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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mlawgFwF8zPN8AMCLgiBsSTK/qCCjJyvII83kdTqdrCCPdI1cHpF+MxqNmDBhAtUts/bU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\nRgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1153f6fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ETUm0ztF4pIzFGKgmpshOSZKKZVnuGHu4DfibmkrmemRnd3d3YEom1boEfo5Q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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117208f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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s1BxnKuKZ29vbGRwclCYWZVx3c3NzVOaY2lsuGL2pqWlaDXKlqSU9PZ2HHnqI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\nWENuYWFhUeOwhtzCwsKixvE/fiaUhbfKc/AAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1139ddc90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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uv/9+rF27Ft/4xjcoL8WlUEGX2tpa5ObmoqSkBEuWLGEvkRi5xWJhR9rly5ez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\nIossznJkGXkWWWSRxVmO/wdOrNc61xNz0gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114615dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BMNGDJf5wHtuoQHQSr9fLwMAAZ8+eVQ5V9vl8MzbGstlsOBwOqqurWblyJZWV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\nTtSIvTd1dMHU1BRTU1Pk5+c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      "text/plain": [
       "<matplotlib.figure.Figure at 0x114c94e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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09PDWW2/xu9/9jkceeUTuc25ujlAoxC233MJvfvMbcRpXBC/Rd4WA/Cvqjv/z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\nIQpHhVwIIQpHhVwIIQpHhVwIIQrnCzE2nNztm+vHAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1175679d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "matplotlib_pyplot_samples(train_datasets)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "cYznx5jUwzoO"
   },
   "source": [
    "---\n",
    "Problem 3\n",
    "---------\n",
    "Another check: we expect the data to be balanced across classes. Verify that.\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "notMNIST_large/A.pickle 52909\n",
      "notMNIST_large/B.pickle 52911\n",
      "notMNIST_large/C.pickle 52912\n",
      "notMNIST_large/D.pickle 52911\n",
      "notMNIST_large/E.pickle 52912\n",
      "notMNIST_large/F.pickle 52912\n",
      "notMNIST_large/G.pickle 52912\n",
      "notMNIST_large/H.pickle 52912\n",
      "notMNIST_large/I.pickle 52912\n",
      "notMNIST_large/J.pickle 52911\n",
      "notMNIST_small/A.pickle 1872\n",
      "notMNIST_small/B.pickle 1873\n",
      "notMNIST_small/C.pickle 1873\n",
      "notMNIST_small/D.pickle 1873\n",
      "notMNIST_small/E.pickle 1873\n",
      "notMNIST_small/F.pickle 1872\n",
      "notMNIST_small/G.pickle 1872\n",
      "notMNIST_small/H.pickle 1872\n",
      "notMNIST_small/I.pickle 1872\n",
      "notMNIST_small/J.pickle 1872\n"
     ]
    }
   ],
   "source": [
    "def balance_check(pkls):    \n",
    "    for pkl in pkls:\n",
    "        with open(pkl, 'r') as f:\n",
    "            dataset = pickle.load(f)\n",
    "        print (pkl, len(dataset))\n",
    "\n",
    "balance_check(train_datasets)\n",
    "balance_check(test_datasets)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "LA7M7K22ynCt"
   },
   "source": [
    "Merge and prune the training data as needed. Depending on your computer setup, you might not be able to fit it all in memory, and you can tune `train_size` as needed. The labels will be stored into a separate array of integers 0 through 9.\n",
    "\n",
    "Also create a validation dataset for hyperparameter tuning."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "cellView": "both",
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     },
     "output_extras": [
      {
       "item_id": 1
      }
     ]
    },
    "colab_type": "code",
    "collapsed": false,
    "executionInfo": {
     "elapsed": 411281,
     "status": "ok",
     "timestamp": 1444485897869,
     "user": {
      "color": "#1FA15D",
      "displayName": "Vincent Vanhoucke",
      "isAnonymous": false,
      "isMe": true,
      "permissionId": "05076109866853157986",
      "photoUrl": "//lh6.googleusercontent.com/-cCJa7dTDcgQ/AAAAAAAAAAI/AAAAAAAACgw/r2EZ_8oYer4/s50-c-k-no/photo.jpg",
      "sessionId": "2a0a5e044bb03b66",
      "userId": "102167687554210253930"
     },
     "user_tz": 420
    },
    "id": "s3mWgZLpyuzq",
    "outputId": "8af66da6-902d-4719-bedc-7c9fb7ae7948"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training: (200000, 28, 28) (200000,)\n",
      "Validation: (10000, 28, 28) (10000,)\n",
      "Testing: (10000, 28, 28) (10000,)\n"
     ]
    }
   ],
   "source": [
    "def make_arrays(nb_rows, img_size):\n",
    "    if nb_rows:\n",
    "        dataset = np.ndarray((nb_rows, img_size, img_size), dtype=np.float32)\n",
    "        labels = np.ndarray(nb_rows, dtype=np.int32)\n",
    "    else:\n",
    "        dataset, labels = None, None\n",
    "    return dataset, labels\n",
    "\n",
    "def merge_datasets(pickle_files, train_size, valid_size=0):\n",
    "    num_classes = len(pickle_files)\n",
    "    valid_dataset, valid_labels = make_arrays(valid_size, image_size)\n",
    "    train_dataset, train_labels = make_arrays(train_size, image_size)\n",
    "    vsize_per_class = valid_size // num_classes\n",
    "    tsize_per_class = train_size // num_classes\n",
    "    \n",
    "    start_v, start_t = 0, 0\n",
    "    end_v, end_t = vsize_per_class, tsize_per_class\n",
    "    end_l = vsize_per_class+tsize_per_class\n",
    "    for label, pickle_file in enumerate(pickle_files):       \n",
    "        try:\n",
    "            with open(pickle_file, 'rb') as f:\n",
    "                letter_set = pickle.load(f)\n",
    "                # let's shuffle the letters to have random validation and training set\n",
    "                np.random.shuffle(letter_set)\n",
    "            if valid_dataset is not None:\n",
    "                valid_letter = letter_set[:vsize_per_class, :, :]\n",
    "                valid_dataset[start_v:end_v, :, :] = valid_letter\n",
    "                valid_labels[start_v:end_v] = label\n",
    "                start_v += vsize_per_class\n",
    "                end_v += vsize_per_class\n",
    "                    \n",
    "            train_letter = letter_set[vsize_per_class:end_l, :, :]\n",
    "            train_dataset[start_t:end_t, :, :] = train_letter\n",
    "            train_labels[start_t:end_t] = label\n",
    "            start_t += tsize_per_class\n",
    "            end_t += tsize_per_class\n",
    "        except Exception as e:\n",
    "            print('Unable to process data from', pickle_file, ':', e)\n",
    "            raise\n",
    "    \n",
    "    return valid_dataset, valid_labels, train_dataset, train_labels\n",
    "            \n",
    "            \n",
    "train_size = 200000\n",
    "valid_size = 10000\n",
    "test_size = 10000\n",
    "\n",
    "valid_dataset, valid_labels, train_dataset, train_labels = merge_datasets(\n",
    "  train_datasets, train_size, valid_size)\n",
    "_, _, test_dataset, test_labels = merge_datasets(test_datasets, test_size)\n",
    "\n",
    "print('Training:', train_dataset.shape, train_labels.shape)\n",
    "print('Validation:', valid_dataset.shape, valid_labels.shape)\n",
    "print('Testing:', test_dataset.shape, test_labels.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "GPTCnjIcyuKN"
   },
   "source": [
    "Next, we'll randomize the data. It's important to have the labels well shuffled for the training and test distributions to match."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "cellView": "both",
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     }
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "6WZ2l2tN2zOL"
   },
   "outputs": [],
   "source": [
    "def randomize(dataset, labels):\n",
    "    permutation = np.random.permutation(labels.shape[0])\n",
    "    shuffled_dataset = dataset[permutation,:,:]\n",
    "    shuffled_labels = labels[permutation]\n",
    "    return shuffled_dataset, shuffled_labels\n",
    "train_dataset, train_labels = randomize(train_dataset, train_labels)\n",
    "test_dataset, test_labels = randomize(test_dataset, test_labels)\n",
    "valid_dataset, valid_labels = randomize(valid_dataset, valid_labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "puDUTe6t6USl"
   },
   "source": [
    "---\n",
    "Problem 4\n",
    "---------\n",
    "Convince yourself that the data is still good after shuffling!\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To be sure that the data are still fine after the merger and the randomization, I will select one item and display the image alongside the label. Note: 0 = A, 1 = B, 2 = C, 3 = D, 4 = E, 5 = F, 6 = G, 7 = H, 8 = I, 9 = J. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "pretty_labels = {0: 'A', 1: 'B', 2: 'C', 3: 'D', 4: 'E', 5: 'F', 6: 'G', 7: 'H', 8: 'I', 9: 'J'}\n",
    "\n",
    "def disp_sample_dataset(dataset, labels):\n",
    "    items = random.sample(range(len(labels)), 8)\n",
    "    for i, item in enumerate(items):\n",
    "        plt.subplot(2, 4, i+1)\n",
    "        plt.axis('off')\n",
    "        plt.title(pretty_labels[labels[item]])\n",
    "        plt.imshow(dataset[item])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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CVdzT6JokmVJ9zqdPn+Lbb79FoVBAsVhEvV7nrac0ry+RC53PbDZzoYPPP/8c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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x122773d90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "disp_sample_dataset(train_dataset, train_labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Swd7eHr7++uuJUpHUkk2v119aBlWOwCm4nnoMkn2N3i9Gk9AikTsgxJNdr9fD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\nVMWQwIcYYoghnimGBD7EEEMM8Uzx/wPi0m19wZUjhwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115642690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "disp_sample_dataset(valid_dataset, valid_labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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yYvH+xfd5XQJtxaiTaSXOZrMsN4dI4OI5JuGhCFzEOBXKuParTTaHwwGv14v9\n/X08f/4c+/v7bEKUy2VkMhlkMhlcXl6i2+0y90Lx2alJVPR7mkDX19c4OztDMplELpfDs2fPYDab\nEQqFVM+jJfj9fuzu7uLjjz8eInBgvDqAxzSd6aTf3eacNP94j6H79F/nq9QEAgHm6UFzUE1aHdf+\ncaTOk7u4SySSJ3fCdrs9FICWz+dRKBSQSCRwdXWFq6srFAoF5i9OkjqN/+vra7YA+v1+bG1tYXNz\nE0+ePEG/34fH42EeWTP1zy3798FhMpmYXzDpl5YZyDMYDOBwOFCtVnFycoJkMjkkgYsDbRZ85zvf\nubc2iyApnAacoihjjZhqfcyTuMlkYkl6tre3cXx8jGfPng0ROOU8ocAGn8/HpHGSVsY9Rz4/BRmN\nqtUqDAYD2u02jEYjPB4PwuEw00GK3kBaIXSr1QqPx4NgMMi22ctSnWkZ/EJBrntut3toZ/sQz5SX\n1Ekqr9VqjMAjkQiLU8jlcmwOUQwEheOTitVgMMDlckFRFJY3haR/cpelgLRJ0rjmRwzvvjYYDGC1\nWrGxsYH9/X3E43F2s/cdSg+810PxofTFYhGlUgm1Wg2fffYZIzKj0agaiTkLfvazn9152yeBJI1W\nqwVFUVAoFFCpVNBqtSYeJ7oWWiwWFl69sbHBoiRJiiG1SrVaxe7uLp48eYLLy0u8ePECL168QC6X\nY7rJWa4LvJPKKeubw+GA3+9nPuS0HdUieJuJHrMRAg+zGE6aO/clsKndFy0kNPbI3dVutzMD5c7O\nDkqlEiP1dDqN8/NzXFxcIJ/PQ1EUJnDQzr1QKDCBJJVK4dWrVyy17MbGBvOwGgdtju7/AO9HTNKs\n1WrF+vo6vv/97+Pp06fY3d3F9vY2mwz8JLirAcZvvehBGo1GnJ+f4/z8HN988w0+++wzfPbZZyiV\nSkPJrPSQC4X3s6Vt4bQEVnzfEolTAM7m5iaLkoxGo+x4/qUoCssBbjKZkEqloCgKcyUcBzFAqNPp\nMKneZrMxFzcAbJemRfDeEA8hfNwHHtIoLI4/NVfeu76WOMZJbUvkPRgMEAgERnTrJNhdXV3hN7/5\nzZAaplqtsvPx1XuSySS++eYbeL1eNJtNFgRE+e11LYGL/9N2inwrHQ7HiBRz1wOLiIcPICH1jdVq\nBQAWhkvfa5XAxQFKxkEqYEx6u0kh0qIXDvBevbW6uopAIDCUh1vsAwop7nQ6ODw8RC6Xg9PpxNXV\nFS4vL6ehj7QlAAAgAElEQVReV/Q0GAwGrBoKZSGk/Ch6gF5IW2u4LxXKpHOKQgQw6rZI0nqj0YDV\nasXq6ipOT09xfn7OdOi8gES5Vfr9Pt68eYNf//rXqNfrODg4wMHBAUuSJULzBC6CD5rh86DwPsD3\nSeD8ucXgHf76vBFCi+lkCUSilJub3KTIHWqS77f4OeWGiMViCAQCTEpRO54MnsFgEAcHB+j3+7DZ\nbOh0Ori8vJwo3akZpgCgUqng/PycqWuOj4/Zgq7FRFHiWL2vsfsYMM6Afte77VkwbvxRO6xWK5PU\nLRYL4vE4YrEY3G43DAYDUqkU2/Hyz7vX66HRaOD8/BydTgflchkGgwGrq6twOByPg8CB4aRH4jbn\nvgmcB+8RM2kianlCDgYDpvsmXT4RuJqEoXY88D4M3uPxIBKJwOfzDWWoEw2JlIHPaDRia2sLNpsN\nrVYLFxcXMBqNI0WMx12XR7Vaxc3NDer1Oj766COWplbraVrVxo7EO8wrCd8XZt1Fk4aAtAQ+nw/b\n29twOp3MADoYDFAul6EoyoiKuNfr4ebmBoVCAe12G/F4HE+ePEGr1YLf7x+5ni4JXKsqCQJJfYsa\nMR8a9Xod2WyW6aGnkSeBN+pSMWGn0wmPxwOn08kIfNokpNzSgUAAbrcbVquVBTpMaosopZOvOQVh\n1Ot1toXVW8IoCe1CTagZ5/pJunOfz4f9/X1m+8jlciiVSqr2D3IoILfDb7/9Fg6HA7u7uyNt0SWB\nA+oSsfj9XRsxZ/2t6EuqFwJPJpOoVCqqARKTJHAapFarlfmBOxwOlt51EsiWYDQaGYGT6mUW1ZM4\n8Pv9PiNw8hmntklI3CWmjW1e5er3+7G3twefz4dcLoeTkxNWhYfUlSRkUFK5UqmE6+trfPPNN7Db\n7fjLv/zLkWvolsCndd5dSluT9MDjoCXSntaWer2OfD6PTCYzVB1nHHhSJ50fVcmhBE2kBxSPUTsX\n5cQmg7DFYhkKlabfTbsPIn2+9Bblj9bS85DQH+bhk3F6ccpOSOmRA4EAq3YlGuX7/T4ajQYymQzO\nzs7GCiC6JXBAOzpNrbRjVojtbTQaKBaLyOVyUwmcJApe8qVcFcFgEG63m+V1mKVfeHsBX2NRLNRB\nvx0XjETf0TX5ZP2zqoQkJO4S/PinCG3gXRRuLBZjEde1Wk11t9lut1EoFHB1dTU2nkGXBK43wtQ6\nGo0GCoUCstnsEIGLvrY8eMLkCZxc+OZJcMR7EvEEPu9z5gmeIjanuUNKSNwHRGGD7ESkKlxbW0My\nmUS1WkU6nVY9R7vdRrFYHDLEi9Algc+KZejA9QLe6l2r1VAsFpHP51Gv12cmPJJ8yR0wGAzC6XQO\n5eWeZovg28GrPkifPe898W1T81SSkHgoiB5yhHkEFdpJjuOgR03gEuNBEY+UIKpQKKBQKLAUrfQb\n/l0NPIGHQiFG4PNAjcBFveCkdqj55fLeMVr0AZf4MMG7HqupCXnwzhDj8KgJfJmS8yKGz4cEny2t\nWq2iUqkwD5RJgQoiDAYDyw0dDofhdDpVXar4z8TzU1ADpepstVojEvgsBkw+iIpP6ysJXGIZUItW\n5nec03aZvF1o3BjWJYFrjRi11h41iOHz3W6X5TGuVqtD0ZfzgAic6gBOk8BFtUq/30e9Xke5XEax\nWGSBRHzWtlnbRNI2hR1TbvJxJaskJO4LartHsstUq1UUCoURlaUo6PDF0h+VERPQrh+4CK1J4tQW\nUp1QystWqzUkDczablECd7lcqgTOSyD8YjIYDJgXDLWl3W6ztkzzQ+exsrICs9nMUskSgc/ijy4h\ncZ+gAB6ewAuFwogHCj/OTSYTK5ZOPuMidEvgWvcDJzwkeU/TEfNqBsrPnUwmUSqVWC5u0U1wEsiH\n2263s0Ku4/xVRddDkkgajQZSqRROTk5wenqKfD4/FEg07fr8PVqtVni9XkQiEQQCATidTqZCEXcg\nEhLz4LbzmCIrC4UCkskk0uk0y7nPj01+nlgsFgSDQWxvb6vmQQF0SuBayzGilXYQ1Aab+Bm5KF1f\nX6NQKIzk/h4n+YohwlQxhYoSkK/rONdDAlnXq9UqLi4u8Nvf/hYvXrxAJpMZutakACCxjQ6HA9Fo\nFNvb24hEInA4HEPqk7vclUlIEKaNdeCdr/fNzQ3evn2L8/NzpFKpoSImauPSarUiEong8PAQDodD\n9dq6JHCJ+aA2wKhosEjgs0jgFPZrNBpZ0h4i8GnqCl73TRWA3r59iy+++AJv3ryBoigj1xrXFpHA\n7XY7otEodnd3EYlEWJkyLamwJO4HRIL8O4CRzxb9btw1Z0WtVkMikcA333yDi4sLpFIplEqloUA2\nXjA1GAyw2WyIRqM4PDyEy+VSPa8uCVysZAK8NxLwaoC7BG984/2c+UrURGzk46lWeX0Z4ImOXAdL\npRJubm7w+vVrpNNp1Ot19ptp5wAAm80Gr9fLQoIp98k4v1aSuKmeZTKZxPX1Nc7Pz/HVV18hk8mg\nXq8Phc/Pcj/88/D7/djZ2cHHH3+MeDw+sZKJhD4wTZAg8ESr5kV12+/UMI7ciRdarRYr2PD69Wv8\n/ve/xx/+8AdcXl6iVquNEDeNZ7/fD6/Xi+PjY2xvbyMajY4tTKI7AqfOISIS3XMeoqAD3+GiOxBv\nSFsWgY+798FggE6nw6RvInDy/+Z/x7+L5x0MBrDZbAgGg1hbW0MwGGQErpb1jxZW0gOWSiW8fPkS\nX331FV68eIHr62tG4KIPutq9iYsJ+dTyBB4MBiWBPyKoqfKmScj3BTFAR7SvkFBXr9dxdXWFV69e\n4eXLl/jDH/6Aly9fskRrPIHz90Pj+OjoCFtbWywfuBo0T+DiQ+r1eqhWq8hkMvD5fDCZTCN+lfel\n5+RVBysrK0gkEkin01AUBTabDevr62i1WrDZbLDZbEvJRkjBMHyFIn7RI3/vs7MzvH37FolEAs1m\nk1UHGafPE/uUjJdutxtGo5HlFKeByC+oFJhTqVRYwdevv/4aX3zxBb755hs2oGephUmgdlIhZY/H\ng83NTWxtbWFra4slxRKPk5C4LdSERhIoqb5lo9FANptlxP3q1Su8fv0al5eXqvPJbDazIicbGxs4\nPj7GkydPsL6+Dp/Pp08jJnUUn1e71Wrh6uoKKysruL6+RjAYRCAQGCHL+5DA+fMaDAbU63XU63V0\nu11EIhFGHEQevFrnIdDv91mtSUql2mw2WU6Qer2OVCqFVCqF09NTnJ6eotFosFqis947XavdbqNe\nryOdTuPs7Ay1Wm0korLZbLJFg3y9Sfq/urpiboPTtqpq7RkMBnA4HDg4OMDx8TG+973vYX19HTab\nbWqUm4S+II4BUQp+yEWar3/ZarXQarVQqVTY2KYarel0GtfX17i6ukImk2EVdoBRzzCn04loNIq1\ntTU8f/4cz58/x8HBAaLR6MTC3JomcGDUiEUEnsvlYLPZYLFYYLVaJxq77hr0AMnfOBaL4cc//jH+\n9E//FJFIhK2mau2/73YpioJUKoV8Po9KpQJFUdBoNNBsNlEul3F2dobT01NkMhkoioJmszlz+/h7\noUjOer2OTCbDXAAphSstbpSsJ5PJsGr3iqKg1WqxgB3RcMRDbZvJ/8bhcGB/fx//6T/9JxweHmJj\nYwNWq1VK3Y8Es7iSPvSzJvKmca4oCjKZDC4vL3F5eYmzszOcnZ3h5uaGVaKn6GJ+HBMGgwFcLhc2\nNzfx5MkTfPe738Unn3yCjY2NqYnhNE/gIqhuHHkwiJLWfZAlL3Xz2yaXywWXywWv1wuLxYJwOIxY\nLMbqZN5Xe9RA4eg3Nzf4/e9/j5ubG1SrVTZ42u02KzmWSCRQqVSmSt6TQP2fzWaxsrKCer0Oh8PB\npH2S/uv1OorFIgqFAltMeN9XYLSkmJoxif+dwWBgybP29/fx0Ucf4eDgALFYbGwgER0voS+QeoLS\nPjQaDRa9OI+9a5yBUlT3keqRVLLkLMG/k0BExYmr1Sry+TxSqRTS6TRubm5wc3ODXC7H2s07V9hs\ntqEc+l6vF9vb2zg8PMTBwQH29vaGopon3Z/uCBx4XySYOvqhJqYoBXY6naF802pJakQCui+Qh8fb\nt2/xm9/8BqenpyyvCLWx0+lAURQoijJ3mlVxIWq32ywAqFKpIJFIMHsErxPkBzxJ3OL2l/9bzTDF\nS+hkJN7e3sbHH3+MZ8+e4cmTJ4jH4/B6vax4gyTrxwEat1Qqj/L20JiehcDVCJteRNQkeJCRn140\nh0ivTTvZUqmESqXCBBLabVIbaXcrpqcwGN4lf/P7/VhdXcXOzg52d3exsbGB9fV1rK2twe/3q+YU\nUoMuCZw6/qEh6q9EV0aevB9a/9rpdNBoNHB9fY0vv/wSL1++ZBLDfYBUJaLf9jSIrlNq34u+ufSi\nKt92ux27u7v49NNP8cknnyASiSAajcJsNo/oFiWR6xukqmg0GlAUBYVCASaTiZHttPE0SdoWqzcR\nUZP6jy/NR7vZarWKXC6HbDbLCg+rpaHg20TJqAwGA/OWWltbw97eHj755BN88skniMViCAQC8Pl8\nc/WPLgl8GVALcOG3/csGSdaNRoNJ1+Q1M04lcVeYdP/j/GSngS+U7PP54PP5WL6VSCSCZ8+e4fDw\ncGwKWy08E4n5obbTI7vOl19+iXq9DrfbzSTnu5DAeSIndQ0Rs9qL9Nq8DYfI2Wg0wm63w263w+Fw\nsJfL5YLb7Ybb7UYoFEIoFEIsFsPm5iai0Sg8Hg/zmpoHksDnhCiFi65tD+2TSuANlrxuW23hAe6G\nyMXIsXHnX2QBMRgMzK1qbW0NW1tb2Nvbw/7+Pvb29lj+cbfbzaI/perk8YGSP5HB8PT0lO205h3D\ns+jBeVKfpBenFx1DaSUsFgu8Xi+rUEVectFolNXC9Hq9LHeQ0+lkKSgmeZuMgyTwGaAHUsjlckwy\noGIIPHk/RMCDWlCDGGVGL77EFG87IA8ekmICgQDTE+7v7zMjD6lT1ELl9fC8JGYDkSYZ4ROJxMLn\nUtsx85+RmoPGptpnZrOZuanyY5dSGFutVoRCISZg0CsajSIWi7GgHIfDAYvFMrOab9xvJIHPAF6y\nU3MB4rEs8kgkEqhWqyiXyyN+1Xyb75LExWuIE4MGP0/aNPDJBZNeVqsVLpcLHo8Hbrcbfr8fPp8P\ngUAAkUiE5RsPhUKwWq1D6QwkYX9YWOR5i4KD2rikFBgkHJBULH5GqYrpZbPZ4HA4mNqEVCVut5tJ\n2PxnYsqJ24xhSeBzYJwa4r6Ch+bBzc0NK4wgliO7b9WOmuGQnyz04icDDWYibJfLhWAwyLaZtOWk\nkHi73c4G/jwFkyUeF+adY7yELToZ8BI0ZdUk9z6SktU+83g88Pl8TA3Cj2Eq6m21WllqCf6a49wC\nx5H4tJ2zJPAZcVeS3n2RvKiTIyxDJz/Od1tUnfCSDT9JSBInXSFFthJxj9tNSEn8w8BtJPBxL35c\n8oIG5TXii4SIhkmv1ztC4KQKVFMlEtTm5jgSH3tfyzK6SUhISEjcDjJZhISEhIROIQlcQkJCQqeQ\nBC4hISGhU0gCl5CQkNApJIFLSEhI6BSSwCUkJCR0CkngEhISEjqFJHAJCQkJnUISuISEhIROIQlc\nQkJCQqeQBC4hISGhU0gCl5CQkNApJIFLSEhI6BSSwCUkJCR0CkngEhISEjqFJHAJCQkJnUISuISE\nhIROIQlcQkJCQqeQBC4hISGhU0gCl5CQkNApJIFLSEhI6BSSwCUkJCR0CkngEhISEjqFJHAJCQkJ\nnUISuISEhIROIQlcQkJCQqeQBC4hISGhU0gCl5CQkNApJIFLSEhI6BSSwCUkJCR0CkngEhISEjqF\nJHAJCQkJnUISuISEhIROIQlcQkJCQqeQBC4hISGhU3xwBH50dHR+dHT03wif/eejo6N/WVabHiPU\n+lni7nB0dPRfj46O/sdlt+OxQK+88MER+AQMlt0ACQkJzUHTvCAJXEJCQkKnkAT+DoZlN0BCQkJz\n0DwvmJbdgCXhvxwdHXW5/60AfrusxkhISGgCuuOFD5XA/+rk5OS/0j9HR0f/GcD/tMT2SEhILB+6\n44UPVYWi+a2RhITEg0N3vPChEriEhISE7vEhErim3YIeEWQ/3z9kH98ddNmXhsFAl+2WkPigcXR0\n9FsA/9vJycn/vey2SCwPH6IELiGhaxwdHT0DcAzgy2W3RWK5kAQuIaEjHB0d/e8AfgHgfz05Obla\ndnsklgupQpGQkJDQKR7aD3xotVBbPMrlMn75y1/il7/8JV6+fInLy0tcX1+j2+2i3++j1+ux1yJY\nWVmB2WyGyWTCysq7DYjT6cSPfvQj/OhHP8L29jacTidcLhd+9atf4Z/+6Z/w29/+FoPBYOj63W53\nypXGX99oNMJoNGJlZQUrKytwOBwIBoMIBAIwGo3453/+50XcmaauxOMWa7qvRCKBf/zHf8QvfvEL\nnJ2doVgsolgswmAwDP2Wfk9/DwaDsee+S/DtoL5bWVmBwWAY+Z/atLa2hk8//RSffvop7HY7fvaz\nny3qKqZrSYeeD71THyWTSSQSCXz99df4h3/4B/ziF79ArVZjc0M8hv9sY2MDP/nJT/CTn/wEHo8H\nf/EXf7FQ3/7N3/zNgM5P16BxdXR0hI8++gi7u7uwWCywWq2sbYPBgP2eb5sWwfc/f4+tVgvtdhun\np6d48eIFTk5O2Him39Oxf/u3fztyk5oL5DGbzYjH4/jud7+LcDiMQqGAQqGAm5sb3NzcIJPJoFar\noV6vz0ziNFgBwOFwIB6PIx6Pw+12w+l0wuv14uDgAPv7+wiHw2ygPHv2DIPBAOvr60in00ilUigW\ni6hUKqhUKqrnV7s28P4But1uhEIhhEIhBAIB+P1+eL1euFwuuFyuoYnzkDAYDHA4HNjZ2cGf/Mmf\nYHd3F9VqFYqisEHU6XTQaDTQaDRQLpdRKpVQKpXQarXQarUWXlTnxcrKCnw+H3w+HzweDzweD9xu\nN6xWK0wmE0wmE7unQCCAw8NDHBwcwGq1Pkj79ILBYIBarYZ8Po9sNotarYZ+vz9Eivy4pr9J+LDb\n7XC73WwML4ovvviCXU+8lslkwurqKuLxOFZWVmCxWBa+jtYwGAzQ7XbRarWQy+Xw5s0bfPnlO7OG\nWl+oQXMEbrFYEI/HYbPZcHBwgFarhWaziS+++AKff/45ut0uBoMBms0mer3eCEGK4Ff1wWAAp9OJ\n7e1tfPLJJ4jFYgiHwwiFQvD7/fD7/bDb7UySM5lMiEajePr0Kb7++mt8/fXXuLi4QLfbZQQunn9c\nG+h7t9uNzc1NHBwcYGdnBzs7OwiFQjCbzbBYLPcqSagtNNR+2gns7u7C4XBAURQ0m01GzL1eD41G\ng0nlNzc3uLy8xGAwgKIo6Ha7D0Lg1Fafz4fNzU3E43HEYjHEYjE4nU5YrVZYrVb2O6fTiXA4jEgk\nAqPReO/t0zrE8VWv15HL5RiBjxvD/OdEpETggUDgTgic2sdfy+/34/j4GK1WC2azeWQnwUu0WofY\n5n6/j263i2aziVwuh9PT04l9oYalErjaKmM0GuH1emGz2ZjapN/vI5/P482bN0z9IT60WW4WAKxW\nK6LRKA4PD7G5uYloNIpQKASLxQKLxQKj0cjOY7VamZRcLBbx9u1bJuXRNScNHrXvHQ4HVldXsb+/\nj4ODAxwcHCAUCjHVyn1Drb30mcViQSgUgsPhQLvdRqfTQbfbZeTcbDZRKpVQLBYRDofh9/vh8/lw\ndXWFq6srlEolpmq6D9jtdni9Xni9Xuzt7WFvbw9bW1tYXV3F6uoqI3CLxcIWYYvFAofDAafTubTd\nzTIxaU70+31Uq1Wk02mk02koijLTszObzYy8affj8XgWbmM6nR77XalUQqPRYCq7x2azI3UkCUeT\n+kINmpPAATCCpBV3MBiwvzudDnq93sIP0mQywePxYHV1FeFwGD6fD06nc0gvDbwb+CSFOxwOGI1G\npvuel6D4xcVmsyEQCCAejyMcDsPj8cDpdE5dDO4bJLGSjpGkblpASVrw+/1M4t3e3kY6ncavf/1r\nNBoN1Ot1tkO6j4nm9/txdHSEo6MjbG9vY2dnB7FYDC6XC263my3AtMAbDAYYjUaYzWaYzWbdSGoP\nAVpoFUVhevBKpTJCkqLOHHi30Hs8Hvh8PqaGdDgcC7dlnB6bJFX+9dgg3p/afepKhWIwGJgek2+4\n2WxGv99nBD4PxPPwBO52u+FwOMYOjsFgAIfDAZPJxAh8nuuL57XZbAgGg4jH4wiFQvB6vWzwL3uA\n0iLG64rVtqwAmGqrWCyi0Wjg/PwcqVSK6fXuA36/H0+fPsWf/dmfYWtrC5ubmwgEAhMHv16MXA8J\nWmD7/T4qlcoIgdNvxsFqtcLtdjMCdzgcsNvtC7eHf26iOnIauT0G8GpM8T41rUKZBST9tVot1Ot1\n1Ot1tNvtmaVg0VJtNBqZkZIktknkPRgMmPpAURTUajV0Oh32PZ130vV5mEwmWK1Wtt2nh7ZMqE0a\n/rtx1n6DwYBOp8MkYIfDwZ6VePyiMBqNsNlssNlsiMVi2NjYwO7uLoLBIFwuFywWy9D5l92XegDt\nZJvNJqrVKsrlMiqVClqtluqzEp8hb1dwu91DO9fbtGnS/48Z4vxT2wGNg6YJnLbt3W4XjUYDtVoN\ntVoN7XZ7xCAw6UZJHUIEbjKZYLFYRnTpIhEQeXc6HdTrdSiKgmq1ina7PXJ+teurPQjSy9psNpjN\nZlV3oWUb26bdi6iesNlscDqdcDqdaLfbI6Q/L/gBbTQa4XK5EAgEsLa2hvX1dWxsbMBms42Q97i2\nS1IfRq/XQ7vdZnOqUqlAUZSheSWCfyYOhwPhcBjRaPROPKd4zxcCzYcPichpVyRykq5UKDxoO95u\nt9FqtZgLm6gDn+Uh8+RNOlFR5y2CDAwkrSiKgnq9ziTwWa4tfk87ALvdzghc64N0HCmSoZA8aMbt\naOaRwsVjjUYjPB4PYrEY1tbWEIvFEIlExrZrXPslib8Hv6OsVquoVqtoNBoz7WoNBgOTwKPRKNxu\n950YhyctxFqfH3eNRyeBk7M76Z8XsUaT6sJut8NisYwE86iBFpBOp8MWkXa7PbcOntdrmc1mWK1W\nJkHygSe3VTfcFcR2iGoT4L20IJKBmhR3m3symUwIBoPY3t7G+vo63G733PfyoUNUjbXbbZRKJaRS\nKZRKpaFnxj/fcQsfT+DLjF2Q0DiB8xJ4p9NZyIAJvDeMEnFarVYmgasFLdBnRFA8eU/aZk5rA6kc\naCHhVSi3VTvcNaZZwonAyY+VJDlej3oX92M2mxEMBrGzs8OCr2Zpr8R4tFotlEolJJNJFohFW/dZ\nhAhJ4NqB5gicn/TkdVKv11lAiZqkoAbxe7PZzPS0VquVqU8mTXyevMknelbjqbggkN6djKfiAsK3\neVlQu/44Qy09m2azyVRbzWZzxANl3sVONJiazWb4fD6sr68zwhjX7mX3n17AS+CVSmVIJTjJJkSx\nCg6HAz6fD16vlwW+SSwHmup5cbL3ej20Wi3UarWhUO1pE1V0NzIYDLBarcxbwmazjZCnGtHQ9RuN\nxojny7QAHvF/CighFQ6pb/RKOqQ6qdfraDQabJG7iyAeftHg3T5DodCt3NUk3qHdbqNSqSCTyQwR\n+DgXTFpU+aAol8sFh8Mh/euXDM1J4MBwqKkagQOz5Qrg1RIWi2UsgY87nidwnpzU1C6Trs9HBNrt\ndhbNqWfJhV9ceQKftW9mARG41+tlBG6z2Ya+l5gOsZ/a7TbK5TLS6fSIBM7/nleFiVGtFLzzmHKT\n6BGaJHBCt9tFvV5HqVRiUX6zQtQp84Nv1pwjlLyJdLuiBD4LeQPvXAdtNhuLuuSvrxcSElUpFMST\nTCZRLpdHXCtvC5fLBY/Hg42NDYRCIdZvy3ax1APGuYHSq16vI5/PI5FIDD078Th+DNNOKBQKwefz\nMelbNMJLPCx0QeDlcnmEwOd1TTObzXA4HCPbvknn4P3PRUv9rJFSwPtgFI/HA5fLNZQSU69oNpso\nFAqMBEQpbh6o7aZcLhdisRi2trZYfhby2pFYDGSU5wm8VCrNFJhmsVjg9XoRjUZZ0je1nEQSDwtN\nEzgleZlXAh83AGnrN+u2jw/goeyHateaFr1GEjjljZikN9TLhGi1WigUCsyT4TYEDoySuMvlwurq\nKtbX1xEMBmG326X0fUuQUZ52tdlsdmxcgzgOicBXV1fh8/mYGnLSMRL3D02LMyQBVyoVNBqNhXNs\n8DpwkoBnVaFUq1VUKhU0m825PFD4d57AaQdA0Gu0GalQpnkyLAqHw4FQKITV1VUWri2xOCh8no9o\npp2l2rgWxyQReCwWg9frlbpvjUAXEjipUHgJeF7SIwmc8mfMQjLtdpvlipgnUk0EZflTI3C9QLwv\n3pf4tioUNVC49urqKjwez4i0p9YmifEYDAZM+uYJnJeeJ6WnsFgs8Pl87HnQGNaj8PGYoEkCp4lJ\nEjgR6G0kcCJQqtwyqwROuSLGSeDz6sBJhaJ1TDOE0XPJ5/Oo1Wq3zkBIpEEvp9OJQCCAcDgMl8s1\nVgKXJD4evGGx1+uhVqshl8uhUCigVqvN5JZL44AIfG1tDT6fj0ngWoke/lChKQIXBwMZXCqVytxe\nKOJ5FyVw0oGLXijzgMpP6YnAx4FS6jYaDSiKspCHkAieaPg6oYFAgHmgEIFLj4f5QH3V6/VQqVSQ\nSCSQyWRQr9cBjMZM8FI4D6vVCr/fj3g8Dr/fL1UoGsHSdeBqrkuEu5TALRYLqxxis9nmJnDeiDlv\npjTSgXu93rmMqFrDYPA+OyPZJojAb6Pe4o+hIhokgQeDwZFqOpK8p0MtKI5yf/MEPit4CVzUgYuL\nwDIgLjz8/LzL7yZdb5bv7hpLlcDH3SB1Ik8UlIVQ7Xfjzsv/TWWg5nF/IhXKPBI4Lx3StUmFwnuh\n6FxwNacAAB0YSURBVAViagPKe1KpVFhx6Xnys4vgd11Go5E9I7fbzaL97rtW6GOE2m5WURRkMhkU\nCgU0Go2ZzkFZJmn3SJHED+XOKRIrJbKbNO/vgmjvmsTFv2e9p2nQlAqFIBI4ScC8BD7pZtW+M5lM\nrDDAODc+kXhFCXyeIhI8xEAevRC4aNQiAlcUhWUfJOOuqNaYZTCKz4CeEdVZJAIntYrE/OAX32q1\nimw2i3w+PzOB8ykoXC7XSB77h4Aa0elR7z6OwG9zP5olcH6rrijKkAQ+iw5U9FagwgM2m43V3JyE\nfr+PdruNWq2mGok5rcP578kLxeVysR2AHsH75ZNdgqL4+Ex28w5GOs5kMsHtdrNapeM8dqQ0Pgq1\nPuefR7vdhqIoyGazrAyeGsT4BYfDAb/fj0AgsLQqUrxx+7GBkoQtem+aYxJaaflCCuSvumgqWdKr\nWq1WlodkXIfR9fkybiKBq7lZiefgweeRmHUB0SLIkyGfz6NcLrPSabeZXHw/Ur3Qzc1NBIPBobwn\nEpMxbjzyRudKpYJ8Ps9SyALDQTjiDoqKaaytrbHyaQ9N3jR3+fz9eiVzsc2U3XGW2gTjoEkm4fNw\nU8Y7Uc866xadCJzycBOBz3p98ptdNA84tYMIXLy+ngbiOAIHpqf3VYN471arlRG4mLhKYjLG9Tvt\nJMmbS+3ZjSPxlZUVVg2Jqu88dEAVT+CzpIDWE9QWp3mhCQIXDX9EnvSiQg7zEigveZMxZlpHiUUc\nms0mms3mSKrUWRcQvuQYX4VHi5h2T51OB5VKBel0esQQtojaRITVakUgEMDGxgYCgQCsVuvQ+R/L\nxL1P8GQMDNtxqtXqUG79aT7cVI80EomwfDTite47KVu1WkUikcDp6Snsdruud7AiaGfUbDaRTCZR\nrVbnPodmeoIfDFTlpdVqsSIKi0i/vOqCqvDw6pNxlmyqAsS/FmkDLSC0ePCVgPQAvp/IqFwul5FI\nJJDL5WYyhM0Di8UCv9+P9fX1EQKndkgSnw9E4OQ1RMKIKDSJ3hKDwbsUsk6nE6FQCIFAAHa7fWE7\nx6IoFos4PT2FzWZj6ZhNJtPI9bU+LtTaSwRer9dxenqKUqk093mXTuBqllmqg8kXCVhkwBiNRla+\njKznfCFjtbZQmTAibmrDIiD9lliJR6sS+CSQIYzC53lPhkmuUrOCPB78fj/W1tbg9/tHCFxiflA+\nn3K5PJRXf1xGTdH47nK5EA6HEQgEHkSlJY6fUqmE09NTdDqdsQSudfImiG3mCfzt27dDBD7rPFo6\ngYsgoqBKL2IKWf53IsQBSWXUfD4fC6BRM4KI0ggZT9Wq8EzqWLXrUw5yvoiDXgYcgS9eTIUAbqtC\noWPIQ8hoNLJskXzRDYnboV6vI5vNsrS/3W53ZCfDS9U0N0j4cbvdCAQC8Hq9sNlsD+6+pygKrq+v\n0Wg0JgpAWp9Tav1G9olOp4N8Pg9FUeY+r+YInGotUp1FvtzTJNWHGikTgfv9/pEE9OKx/PVJhSNW\n4ZnXUEfBQ+Q/q2cCpz6hWoqFQmHIEDYP+H40GN4XnHY4HCNVk9SOkxgPsY9EAp/myUXeJ/RMXC4X\ngsEgSyHLpzJ4CDJXFAWdTgfZbJbFAzyWccB7vJHDxrzQHIGTBE4GF7VyT+N01/Q9/xktCMViEZeX\nl1MfPpEUEZUYcjyOxNXOu0ghZS1AlNB4f/xKpcL0qYtMYN5fnP63Wq3weDzwer0seIf6iz9OYn6o\nSeDAZCGEpG/aDfEBaA+tuiBVqoQ6NEngFO1XrVbndt/jDSytVgvFYhGDwQBffPEFFEVBMBiceDyF\nz9frdbx+/Rq5XI6dl7+GGkRiohzklH9FTyoBnsQp9zdlsaNt+G1AfUWGsmAwiGAwyJKNiUWnJebH\nYDBArVZDJpPBzc3NEIGL4Meu2WyGy+WCz+dju0cqZ/dQkrfYtsc+FhY1DGuOwClcu1KpMAKfFWIH\nkBqEJMc3b95MNcSQxE7H8XqpecPDKQc5qQQmSd/LmBizYDB4lzq2WCyy1LGLuHQSeAmcdK3k6UAE\nztsqJGaDOH7o71kJnAcJHj6fD263G3a7naWfUFOf3Odz4qMwH+t4uI0TgOYIfDAYoNVqDUngi4Iv\n4uD3+1ktP7oODxocrVYLlUoFiqKMkMi8OnCxChBvfFHzodXCAFW7t1qthmw2i3Q6DUVRVPNIz9on\nosFYdFWj3Ceinly8nsQ7jDOOdbvdoYpSajnt+d0iT8x2ux2hUIhlHhRzB6mpK+8LWhRq7hokfT8a\nCZwInCIgeczjBWK32xEOhxGNRrG6usrKc01SgSiKgmQyiWQyyaTPWSFKJrwEzucg19ugJCmOyqeJ\nBD7v/fCDlc/97ff7h3ZIeusnrYDmUKPRQLVaRbVaHSmfNs4TBXhfDWl9fR0+n2/pydeoXY95PCx6\nb5oj8LuUwInAd3Z2sLm5ic3NTfh8PtXVjrZouVwOFouFBUAUCgX2/SSoebZMq8OplcAUcTvMTxhe\nj5pKpaAoCvr9/ohUPK+dgqAWLCIxP/ixRC6fNIfErJFqx/CgeROPx+H1eociH5c1Zh8zed8GSydw\nUWqdJoFPOo+4zXM6nVhbW8Ph4SHW19exvr4Or9fLvhePB95JH5VKBZlMZiRz4LwqA96IKapQ9AAK\nqqrVasyIWa/Xh9LHzrv1E3WoRqMRbrcbq6urCIfDcDqdmljU9Ixut8tyf1PiKt4dFpg8fm02GwKB\nACKRyFA9UgntYekETuAHVqvVYpKDGPY7y3locDqdTsRiMRweHmJtbQ3xeBwej4ddR+36FosF6XSa\nGR5FAp+HrCgQYp4qQFqAwWBg/qlE4IVCAfl8nhE4sLg0xvchZbzjCZxvh5S8poPfMVGEH+X+LpfL\naDabQ0E64nEiiMApgRXNAfE6EsvHUghcjTzpM9r+kR84SeCzGk74c5N/cTgcZsEIbrd74vHFYhEm\nkwm9Xm8ubwu1QU3uWKQD17oELhoYO50OW0yLxSLLIy0awhb1Byd/YzIy005F/J3EKNT6nPqq2+2y\nXSRJ4LzNQTyWjMlkPHY6nfB6vSwATkrg2sWDE/ikyU4SH5GGWiDPOMJQ+4ySWfFVeESDiEgQ5Aee\nz+dHdPDTiEr8nhJpURi/lslIbHuv12PPoVKpoFgssjSkaq5k84Ii/SjQicp1PZZMc/eJcbtHAp81\nks/9LR4rGjEp6RpfgYcft7y3ioQ2oJnZQsTMS+C1Wm2IwOclUErlSqoQNQIXByS5XlFuArr+LL6a\n/Dnp2uTGqGbE1DKIwGu1GiteXC6X70yloUbgegt20iJIhaIoClKp1AiB878T5wDvdksvLac/ltAY\ngVMVHqqEI9bBnBdEElSIVYwkE/WBZLTjy7jNen01yWRaHU4tE3q73UalUkE2m0WlUmGGMDEUflaI\nxjNyVVtbW4PP55PRl3eAwWDAAuEKhQJubm6Qz+fH5tgQjclOp5MlrqJi0uIzeejnE4lEsLq6ilAo\nxIofPJYFhQ8azOfzSCaTyGazc51DMwTOl1EjH9bbEDivYx03GOl3wOwEPom4xO0pVQEi1YC4FdUS\nxDa1222WebBSqSycUpfOLQaLOBwORCKRodzfj2ViLgskBDUaDeTzeVxfXw8R+Dj1CfC+eEMoFBqq\nR6oWUHWfEBf6WCyGH/zgB3j69ClTRz6mdLKUtuPFixf4/PPPGYHP6p6rGQIn8iQCp3SuixAdGWOI\nQNUq4aj5MdOKSCqcZrM5lL1t1raQQYgkcLU6nFocdHybWq0Wy/1dLpdH3DkXlcJ5CTwSiSAej8Pn\n8w3pWnmy0GI/aRUkANXrdZaMrVQqjdhx1PrUZDKx6jui8XKZZBkKhfDs2TP8+Mc/ZgnPKLBIj/p4\nvs1UIKVSqWAwGODi4mLu8y2NwEU1Bl8Dky/iMC9JkO6ZdN98DuFxD5snb76UGpVymweUipNUJ3R9\nvel2m80mstksLi4ukM/nR/Sot91B2O125qomfY3vBu12G7VajcVQqJUCHAez2Qyfz4e1tbUHK94w\nC2guOZ1OVhR82ZGhdwWj0cg4ZtFScZqRwEUCXzRhEkneVIWHL2M2abXmK/HwO4BZBj8P8nyh6/N1\nOPUkLTSbTeRyObx9+xa5XG5Ij7roc+GPtdvtCAaDLL2B9DW+HQaDASNw8uDiy6eJvwWGpWmz2Qyv\n14u1tTUEg0FNETjl1Ocr8jwGkLvyYDBY+L400xNUMECsQD9L4AG/NScCpRWbdN/T9Kt8Gbd2uz1X\nLU7RGES+zXwaTq3pd8e5YtKLMhCmUimUy+Uhb5xFg3cMBgPzQ7bb7fD5fAgGg3A6nZqXwO/CZnHX\nC5Lot1+v15HP55HL5VCtVtkYnsXwbDKZ4PV6sbq6qikJnMaM0Wgcej0GDAYDdj+LCniaIvBGo8Hq\n9ol6t0nkzQ/ilZUV2Gw2uN3ukTJq40D6d6pAT/muxQky7vo8jEYjkxgoDaeevCtoJ1Kv11EulxkZ\nqPnjzwN+gVtZWYHdbofH42EGM5qU0td4PvCG4Wq1inQ6jVQqhWq1OjFgjo4lmM1muN1uRKNR5hWk\nBZB6kyRV0Q0Y0I+dRI3TyPC8aN1fTRK4KIHPk4NEJHC1NK4iKOqQCFxt2zmr0Y50dnweZa1J35NA\nhrBGo8EIvNVqDXnjLEreJE1RrVAicLvdrqs+0iIGgwHz/aakY0TuakKIGIxlMpng8XgQjUZHCkov\nkyCJwOnF7xJ5aJ3E1dqsdm/zQjMETvo7tbzF82BlZYXlIFFzhVID6Q/r9TqL/px1B0Df03lIZ+fx\neEbcB9WOWTZ4abfX66Fer0NRFBSLRVSrVUbei6oQRPWS3W6Hw+FgkX6k5lLzEJIYxjQX1kajgUKh\nwJKOqf1eHMsUfcmXsyO1n5ZAC5Geo0LFNt+FV5pmCJwiIMvlMhqNxtzeHwSj0cgkYCLwaSAJnHwy\nxULK4whc3B3Q9R0OB7xeL+x2u+YmAg/RYNjv91kKXZ7AeXXSPEQ+Tr3k9Xrh8XgYYejNwKsViC6w\n9OwKhQIajcbYXST/HEnY8Xq9bNeotehLtdgNvalQxrVZXJTmhaYIfJoEPqsRU5TAp2EweJ8BkVQ4\nt1GhEEnpzWLe6/VYHphisYh6vc5UJ7cJQqJjTCYTHA4HS1xFNgq132sNlBd+FpAthoLJzGbzTKQ4\nyc1V/J8nb1J7KYqCXC7HskbOIoHbbDZ4vV4EAgFmeNeS2k8kunFSqxbHDA81zx+CmiA4KzTDLouq\nUERiIR04X0l7GojAqXbmvFWwRV0iSeAOh2MkGT7fZq2h1+tBURSk02lGAsCooXge8H1DhrJIJAKv\n1ztE3nzfaHFr/G//9m8ApgsRJA1TEJnD4WDVoBwOx9zXHecCSCDvqUqlgnw+j1QqhUwmM2TEFPuT\n/9vhcCAUCiEcDjN3ztsQisTDQjMEPk4Cn7R1VxtktE2fl8CpkLKiKCNeMPOADHR6UKGIIALPZDJs\nG85jEembh8lkgtvtRjgcHiFwreNf//VfAUxO4wqApSEmT6RAIIB+v8+8bW5jfBMNYQaDgRn/K5UK\ncrkckskkMpnMSBwFb9DkF0uRwHnpW4sLqcQwNEXgZEBbNIQdeO+FQkaZWUiCjJiTyrjN2gaTyQSn\n08kmrBigskxMakO/32f5T1KpFLLZ7AiB3/YeLBYLi/YT619qHS9evAAw7CtP4ImRXMJsNhvLLeLx\neLC+vg6XyzUSEzCLqyoPXtIHgGq1iuvra1xcXLDK87SD5M87butO1ZDW1tbg8XiY6keU3iWRaxNL\nI3BxQJAEToaz23ihzCqB8wN8mg58VpAKRfRv1iLo/smNiQg8kUggl8uhVqvd6fUsFgv8fj/i8fjE\naD8tksXZ2dmQ29c4SZq+o1QOwWAQ8Xgcx8fHLGmXKFSokfikPuAXi2KxiNevX+N3v/sdLi4uxj6z\ncaoYt9vNqlV5vV7N6L4lZsNSCFxtK85L4LchcPJCIQl8VhVKu91mZdxECXweMucJXA9GTHoWVIuU\nkiDxEri4FZ8H/O8p30Y8Hh+J9tMiafM4Pz8H8E7nPItbJeXE8fv9OD4+RqFQQCwWY0Z2YHK/ijYB\n+pu+o+CWYrGIN2/e4PPPP8fNzQ0jcLX+FHcNKysr8Hg8Q+UGJYHrCw/KLvy2jEASC/lhzyOBq00A\nCqWnxDfjCJQf4EReogQ+q9GRbwctIGTR17IEDgxHoSqKgnK5zFwIZy0oPSt4H3nRwCu2SWuEfnR0\nhF6vh3w+z5J7qakbeFBu7ouLC3z22WeoVCrY2trC1tYW878WjYbj3OPI1ZV2qslkEqlUCi9fvsTL\nly+RSCRQKpVU0y+LfUmpJkh9QhkI7Xa7rv2sP0QsVTwkkuSrv4gEPm5yiOchGAwGVulllgxfvPQ5\nTgKf5bq8Fwr5oeuBwAGwyEsqn1YqlVgujUW9T9TA744mEbgWcXR0xEhbURS0222WNpjGEDBq0CQC\nNxgMqFQqaLfbcLvdcLvdzM1Q9BARiZPmCXlqZbNZvHz5Er///e/x6tUrnJ2dIZFIoN1uo9PpjEjt\n/DMcDAawWq3w+XzMO4YIXAZU6Q9LkcDVtoLtdntsLpRZyRt4n07WbrezKi8ixAFNktI4HbhotJp0\nfbGIxENtSechWJEgms0misUistksk76bzebEIKZ5QWRFfSM+G7WxoXaOZeHp06eo1+toNBpIpVIj\n/aNGwkS69Ptut8tqtAYCAfh8PrhcLphMprERu5Sbhvy8K5UKkskkvvrqK3z55Ze4urpCNptFqVRi\n1+bbwLeJPnM6nYjH49jf38fGxgYCgQCcTqdqwIyEtrG0qvS8IYbycPPJpObVgdMApcAJPo0sXVPt\n+jRBRAKfF3R9k8k0VEh5WTrFaaTLexeUy2VcXl7i9PQU+Xz+VtV31K5BkqrZbGZkNS7B123c7O4T\nz58/h6IoKBQKePv2LYvYVdOH8ws+uaiWy2W8ffsW/X4fiUQCfr8fPp+PqZMo6IzUMqRapJ0pudiW\ny2UUCgVcX1/j+voapVJpxFuIwLsDAmCZ78LhMJ48eYI/+qM/wv7+PtsNSOgPSy3owBM45eCmEOBF\npD6ewNWq8Ki1odfrsWAIyqPM50KZtR38AkIEriZV3fdEmYW4RVQqFVxdXeHs7Ay5XO5WdUjVrkcL\nG9U0FAlczS1PPH7ZeP78OSNhv9+PfD7Pdm5iKgDR1ZByy9dqNSQSCXz55Zfwer3w+XyMyCmBFPUN\njctarYZisYhCoYBy+f9v79x+0ui6MP6oFTkjDEqmWExlCtompqbpTa/6h9v0sldeVE17UU7hVM4w\nDAKC4Hu19rcZmRYtovNl/RKiiTgO48yz115HXbi3RqMRRqORSFs0M2/3RPfmzs4ODg8P8enTJ7GI\nMPbkSdMI5SEKZM3cpwJTvjnJ8nW5XMJ98rdJOOYdAPUDX6QPi9nPSFOAzIMkaAF5DiIkXy8SiPF4\njEqlgkwmg1QqhUajsTQLXIbS76jQxWpgx3O4TvMIhUJwOBzQNA0fPnyA2+1GsVhEoVAQn8cctyHo\nPqNYz+3trZi72m634fP54Pf7xf1KAk4+9G63i263Kyxxct/IWO1mKBvG5XJBVVWoqoqTkxNomobd\n3V2xaDD2ZKX/OfNNRhkQ19fXd6bwLBI8M5dpy324FxFQeZAyWTSLLCLzyvcp88Xj8Yi/T66DVfIn\nt4Q5wEZB21KphHQ6jXQ6PTO8Qf7df4HcAfJCKbse7OB7dTqdWFtbQzKZxObmJhRFwdnZGbrdLgaD\nwV8bsJmrGymbhNJXm83mTGN/umb0fJCRM5lMZu5pq92q/Fy43W7s7Ozg+PgYJycnSCaTiMfjok6B\nUwfty5MuvVQ8MhgMxHZwEeY94CTglH1CKVpWyP5vEm9K07JK6/rT+dCDIs/tewohsnL9mB/04XCI\nTqcjppdns1nkcrk7/ttlQAsi/a97vZ5wMck7JHlhnPd10bTOx4AMgng8jkgkAq/XC8MwkM/n0el0\n7gwdkF0/5kpGeTG7D3Qc83WhY5rft76+LpqHvXz5EsfHx/j8+TNisZhIc7X6O4w9WKmA01xFsi56\nvR4ajQbq9TpardZMCfB9sx/kIBn1te73+zNWDR3z5uZG9P3odruoVqswDOPBrgPZ907WldwIikZC\nWWUaLAOyaIfD4YyFK78mk4mwFuv1OgqFAorFIs7Pz9FsNpcm2Fbouo4fP37A6/VCVVXs7u6K6kTa\nytOuhcSd4hlWGUWrRF6oo9EoPn78CLfbjUqlgmq1KnrItFot4feme4pGmy0S37EyHuSFdV78gGIM\n1IOFZo6qqopYLIa3b98iHA7brkcPY83KBZws3+l0Kia+lMtltNvtmcG5wGJuFIIedvIfkoCTb1re\nmtKWVNd1NJtNVKtVdLvdBwfv5gn41dXVjHiTAD2WgJPPlHqqy3285WKpVquFZrOJfD6PVCqFX79+\noV6vr1TAO50OYrEY9vf3RQ8Ov98v8ubpelHKod/vfzaDoekei0ajcLlc0DQNuVwOuVwO2WwW6XQa\nANButzGdTucGxK2u8zzL2vz+ed+ToNMuVFEUaJqGeDyOg4MDHBwc4NWrVyJgSu69p9zRMMthpQKe\nTqeFkFDZdrlcxu/fv1Eul+/0cfiTf89805E7hCL9P3/+hKqq4qYlIR0Oh2LwK1lLZEHRAnLfzAcS\nyfF4LDIVLi4u4HA4hEWkKArC4fCd1C5gOQ8QZSaUSiUUi0UxUksW8dFoJD57sVhEJpNBJpMRLqTH\nZjAYiMW60+mg0+mgVqshEAggEAiIRW5jYwMej0c0BYtGowsVZT22ENFCvbGxIVo1UAn69va2yOt2\nu91oNBrQdR2GYYhgMe386Ks8C3GeMJvdJebhvnJWj8PhEAVCqqoikUggkUjg9evX2N/fRyQSmdmN\nmsWbRdyerFTAT09PMZ1OYRiGeFGEvVqtQtd1AItZ3Ob3ULS+UCjg9vYW5XIZb968weHhITRNE2ls\nzWYTl5eXuLy8FNN/DMNAoVAQbo+/nYP5ZzQNBQBSqRSur6+RzWaFZRmNRvHu3TuRafAY1Go1DAYD\nnJ+f4/v376jX6zMWGrmO+v0+rq6uxO6Dsm4e2/oGILIwptOpWDArlYrI3CEXE/XooD4dk8kE4XAY\nTqfzWVjhBAl6MBjE2tr/Ovslk0m0222xUMnpf7QzpBd13qTguTkOJIu10+mE0+kUsRaPx3MnHXF7\nexuKoiASiYgKS5/PN7fik7E/KxXwL1++4ObmBo1GA41GQ0wNIev5Xwbnkt+31+uhXC7j7OwM79+/\nx3g8Fk2tNjc3USgU8O3bN5yenoqm9w8NKhHkW6aWtNlsFi9evEAkEkEkEsHR0RF8Ph8SicSDjr8I\ntVoNhmHg4uICX79+RT6fn/H7y64UOaXvocNUH4LsvhoMBqjVasIqNLdYDYVCCAaD0DQNiqLg6OgI\ngUBgJee5KHTOwWAQgUAA0WhU+L2p4IZchKVSSVRMkri3221Rlk+/R7EKc13B1taWWNRogk4oFIKq\nqtjb28Pe3h4URYGiKPD5fKLrofn6snD/f7FSAaf+GlRRZlVB9hAo04FEYjqdipJwyixZX18XTbN0\nXUev15txafyLkMlFQXQcyoqZNyh52dA2Xe5pYhZwK1b5UMuLybxzkNPfHA4H+v0+RqPRg7tTLot5\npemEbCU7HA6xo6EMJ13XRXYSudUoSEvias5UkaH3yG6Tra0tYY17vV6RS06uHXOGj9VnYuzN2qqs\nL4ZhGGa5cAY/wzCMTWEBZxiGsSks4AzDMDaFBZxhGMamsIAzDMPYFBZwhmEYm8ICzjAMY1NYwBmG\nYWwKCzjDMIxNYQFnGIaxKSzgDMMwNoUFnGEYxqawgDMMw9gUFnCGYRibwgLOMAxjU1jAGYZhbAoL\nOMMwjE1hAWcYhrEpLOAMwzA2hQWcYRjGprCAMwzD2BQWcIZhGJvCAs4wDGNT/gNmFP5Wdidu+gAA\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113a78310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "disp_sample_dataset(test_dataset, test_labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "tIQJaJuwg5Hw"
   },
   "source": [
    "Finally, let's save the data for later reuse:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "cellView": "both",
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     }
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "QiR_rETzem6C"
   },
   "outputs": [],
   "source": [
    "pickle_file = 'notMNIST.pickle'\n",
    "\n",
    "try:\n",
    "    f = open(pickle_file, 'wb')\n",
    "    save = {\n",
    "    'train_dataset': train_dataset,\n",
    "    'train_labels': train_labels,\n",
    "    'valid_dataset': valid_dataset,\n",
    "    'valid_labels': valid_labels,\n",
    "    'test_dataset': test_dataset,\n",
    "    'test_labels': test_labels,\n",
    "    }\n",
    "    pickle.dump(save, f, pickle.HIGHEST_PROTOCOL)\n",
    "    f.close()\n",
    "except Exception as e:\n",
    "    print('Unable to save data to', pickle_file, ':', e)\n",
    "    raise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "cellView": "both",
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     },
     "output_extras": [
      {
       "item_id": 1
      }
     ]
    },
    "colab_type": "code",
    "collapsed": false,
    "executionInfo": {
     "elapsed": 413065,
     "status": "ok",
     "timestamp": 1444485899688,
     "user": {
      "color": "#1FA15D",
      "displayName": "Vincent Vanhoucke",
      "isAnonymous": false,
      "isMe": true,
      "permissionId": "05076109866853157986",
      "photoUrl": "//lh6.googleusercontent.com/-cCJa7dTDcgQ/AAAAAAAAAAI/AAAAAAAACgw/r2EZ_8oYer4/s50-c-k-no/photo.jpg",
      "sessionId": "2a0a5e044bb03b66",
      "userId": "102167687554210253930"
     },
     "user_tz": 420
    },
    "id": "hQbLjrW_iT39",
    "outputId": "b440efc6-5ee1-4cbc-d02d-93db44ebd956"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Compressed pickle size: 690800441\n"
     ]
    }
   ],
   "source": [
    "statinfo = os.stat(pickle_file)\n",
    "print('Compressed pickle size:', statinfo.st_size)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "gE_cRAQB33lk"
   },
   "source": [
    "---\n",
    "Problem 5\n",
    "---------\n",
    "\n",
    "By construction, this dataset might contain a lot of overlapping samples, including training data that's also contained in the validation and test set! Overlap between training and test can skew the results if you expect to use your model in an environment where there is never an overlap, but are actually ok if you expect to see training samples recur when you use it.\n",
    "Measure how much overlap there is between training, validation and test samples.\n",
    "\n",
    "Optional questions:\n",
    "- What about near duplicates between datasets? (images that are almost identical)\n",
    "- Create a sanitized validation and test set, and compare your accuracy on those in subsequent assignments.\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# I dont think doing number 5 is currently useful"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"\\npickle_file = 'notMNIST2.pickle'\\n\\ntry:\\n  f = open(pickle_file, 'wb')\\n  save = {\\n    'train_dataset': train_dataset,\\n    'train_labels': train_labels,\\n    'valid_dataset': valid_dataset,\\n    'valid_labels': valid_labels,\\n    'test_dataset': test_dataset,\\n    'test_labels': test_labels,\\n    'new_valid_dataset': new_valid_dataset,\\n    'new_valid_labels': new_valid_labels,\\n    'new_test_dataset': new_test_dataset,\\n    'new_test_labels': new_test_labels,\\n    }\\n  pickle.dump(save, f, pickle.HIGHEST_PROTOCOL)\\n  f.close()\\nexcept Exception as e:\\n  print('Unable to save data to', pickle_file, ':', e)\\n  raise  \\n\""
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"\n",
    "pickle_file = 'notMNIST2.pickle'\n",
    "\n",
    "try:\n",
    "  f = open(pickle_file, 'wb')\n",
    "  save = {\n",
    "    'train_dataset': train_dataset,\n",
    "    'train_labels': train_labels,\n",
    "    'valid_dataset': valid_dataset,\n",
    "    'valid_labels': valid_labels,\n",
    "    'test_dataset': test_dataset,\n",
    "    'test_labels': test_labels,\n",
    "    'new_valid_dataset': new_valid_dataset,\n",
    "    'new_valid_labels': new_valid_labels,\n",
    "    'new_test_dataset': new_test_dataset,\n",
    "    'new_test_labels': new_test_labels,\n",
    "    }\n",
    "  pickle.dump(save, f, pickle.HIGHEST_PROTOCOL)\n",
    "  f.close()\n",
    "except Exception as e:\n",
    "  print('Unable to save data to', pickle_file, ':', e)\n",
    "  raise  \n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "L8oww1s4JMQx"
   },
   "source": [
    "---\n",
    "Problem 6\n",
    "---------\n",
    "\n",
    "Let's get an idea of what an off-the-shelf classifier can give you on this data. It's always good to check that there is something to learn, and that it's a problem that is not so trivial that a canned solution solves it.\n",
    "\n",
    "Train a simple model on this data using 50, 100, 1000 and 5000 training samples. Hint: you can use the LogisticRegression model from sklearn.linear_model.\n",
    "\n",
    "Optional question: train an off-the-shelf model on all the data!\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "regr = LogisticRegression()\n",
    "X_test = test_dataset.reshape(test_dataset.shape[0], 28 * 28)\n",
    "y_test = test_labels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3 align='Left'>Note on the Following Training Sample Code</h3>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following code uses score which returns the mean accuracy on the given test data and labels. In multi-label classification (which is what question 6 is doing), the subset accuracy is a harsh metric since each label needs to be correctly predicted. \n",
    "\n",
    "Later on in the jupyter notebook, there will be code showing on which class the model is consistently predicting incorrectly. This is called the confusion matrix. \n",
    "\n",
    "http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.LogisticRegression.html"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3 align='Left'>50 Training Samples</h3>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 61.9 ms, sys: 3.98 ms, total: 65.9 ms\n",
      "Wall time: 65.9 ms\n"
     ]
    }
   ],
   "source": [
    "from sklearn import metrics\n",
    "\n",
    "sample_size = 50\n",
    "X_train = train_dataset[:sample_size].reshape(sample_size, 784)\n",
    "y_train = train_labels[:sample_size]\n",
    "%time regr.fit(X_train, y_train)\n",
    "#regr.score(X_test, y_test)\n",
    "predicted = regr.predict(X_test)\n",
    "cm = metrics.confusion_matrix(y_test, predicted)\n",
    "cm_normalized = cm.astype('float') / cm.sum(axis=1)[:, np.newaxis]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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fDytQvTfCYjAyVFAxx7l9rwr2uV7X8Hddvf+UGhVKaH43NzXCtbQ1V+7nfdeZ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4Uybf42ne00f9OLyA87Ejz0e24kpvL12O6snNGfdsPm6db3aRdVu6Gfq8bIVwM4H5/M1dsP1fU1\n9ia8bwtCRi5V6ZvTn6lD2jJt0S6MDA1IvJ9G0PBF3H2QTkhTH375IowGfb8l8X46jlWtWB7Rm+5j\nV7L3xDXaveXD6hl98XlnNo/Sc3T4rwfy3Hxc2k5Vfe7vhjz93KWM4WHzn/pP2xjeTVCTWkjN1Mew\nTSVzlm88yp5jV1RjZHx3Fke8S9ePluj2XwW/xpQHFa8uUP6UOm3h7OxM48aNWbNmDfHx8TRq1Ag3\nNzf+/PPP1/Z6aqmZMV0C6xE5fxtyRR7Hziew7UAsYR0aadj27diIlZuPEX/rPhlZcmYu2UG/zk30\naqdLYD0uX08het958vIL+GLxdvy8q+Plalch9OXnF7Lg14McP3+TwkL9u63U1Jgurf2JXLhD1e6F\nW2w7eJGw0Aaa+jo0YGX0X8TffkBGtpyZy3bTr1Px59h68CIxhy7xJEPzQpeZrSga1IaGBhQqlXg4\nV9Gt7xX5b8/RODbvPUe2LBdFbj6L1h6iib+HXj4szFOQfvUETi17YWBsgqWLD9Y1G/D44iENW5NK\nVTC2UP02jFKpRGJggOLJvaL99w5vwKFZdyycVMm4saUtxpa2AMgfJZNx/QwuoUMxkloikUgwd3DX\nqS9XIefSicME9xmEsYkpNWr54dugGWcP7dbr82lQSrn0YfIdrpw5xjvDxmBuWQmJRIKTu7fO5opi\nszDmaWxuqvpgh4Yatn07NGTl5uPE33qgivHSnfTr3Eivdto3q82mP84Sf+sBBQWFzF62i2YBnrg5\nVS5bn6kxXVrVJXLJbuSKfI5duM22w5cJax+gqa99ACu3niL+9kMyshXM/HEv/Tq8CYBMkcesH/dy\n90E6ADuPXuVW8hPq13IGoLqdNU8yZew9oarq7jp2lWxZLh7Vyx4nRWN4wXb1z611DDdkZfTx4jG8\ndDf9Ojcu2l/WGN5z7Aqb910oHiPr/6RJvRplalPTV0GvMYJ/Dp1rHj799FMePFBljBYWFhQWFjJu\n3LhyF6YNb1c78vILuXk3tWhbbHwSvp6OGra+no7Exiep2dlVtsLGSqqzndqejlwocaxMnseNxIfU\n9nSoEPr+Lt5u1cjLL+Bm0qPidq8l4+uh+bl8PRyIvZasZmdna4mNlVTv8yXv/YLHh2fz1SddmbPi\nD936XpP/mr/pRVxCil6fSf44BYmBIaa2xT6T2rkhf3hXq31W4lUufD2QC199QNrVE9g1DAVAqSwk\nJyWB/Jx0Li/8mIvz/kfirhUU5ucBkJN8HWPrqqQcWk/st0OIWzaOtCsndOpLTUnE0NCQKg7FVRDH\nGp7cv3tLq33yzWt8Mbgr33zcj32/r6KwsEBt/65fl/LF4K4sjhhFwuVzRdsTr1/BppoDe9at4ItB\nXYgaO4iLf2kmUM+jik0BN++W6IPxSfr1wfhk7GxLxli/dgAMnj4xVkfHGPJ2rfp0jDwubvdaCr7u\n9pr63O2JvV7cb2Kvp5Q6RuxsLfFyqcLlBFV15XSc6pt4+7drIZFI6NSiNorcfGJvlN0PtY/hJHy1\nXJt8PRyIjX+5MfyM5gGexN24p9Ouol9jygulUlnufxUNnU9bJCcns2jRIgAsLS0JDw+nS5cuL3yi\nU6dOERsbi7e3N82aNXtxpYCluSmZ2XK1bRnZMqzMNSshllJT0rNkJezkSCRgZWGmsx0Lc1MePlaf\n28vMlmNpYUZZvCp9fxdLqbZ25S+mz9yUtEyZhr02nNpMwczUmPc6NCDxXppufa/Bf3W9nZgwpD09\nPl6k12cqzJVjYGquts3AVEpBrlyrvaWLD/5jfiQv6wmpZ/dhbF0VgPzsdJQFBaRdOYF3/8+QGBiS\n8NuX3DuyEaeWvcnNfIz8QSK2tRpT96NFZN+N58b6OZhVc8asilOp+nLlMkzNLdS2mUnNUcg0v715\n1K7Hx1+vwLaaA/cTb7Lm288wNDSiZdcwAEL6Dsfe2Q1DI2POH9nLqjmTGP3lcirbOZLx6CH37yRQ\nt3FLJi75nTtXL/HT7AnYu9SgmpNrqfq0x0aOlYWWGJu/aIyL29l99Ao/zejP0t+PknA3lYlD2lFY\nqMTczKRUbQCWUhMysxXPtavQ3gfNTUjPkqvZqcaIidoYMTQ04MfI3vwcc5rriaqEVqlUsmbnWVZ+\n9i5mpkYocvPpO3k1ckXZv1isdQxnybEy17w2aep78TEMUNfLkQmDgunxyTKdthX9GiP459BZeZBI\nJFy9erXo/zdu3MDISGfOQY8ePYr+vX79ej7//HOys7OZN28eS5bonjfTRlaOAqvnbuDWllIycxSa\ntjIFlSzN1OyUSlUSoKud7BwFlZ7bX8lSSla29hvEq9b3d8mSaWvXrHR9FmZqdkolL6xBrshj2cZj\nLPvsXapYW5Rp+6r95+FSlc0/jGDMnN84fv6mXp/HwMSMQoX6jbhAkaO2CFIbxpa2VPLw59Zm1foC\niZHqJlatYQjGFtYYSS2xa9SBjBuqb/cGRiZIDI2wf7sbEgNDLF19sXSrQ2bChTLPY2ImRZGTrbZN\nnpONqdRcw9bWzhHbaqpvhPYu7rTp0Z/Yvw4W7XfxqoWJmRRDIyMCWrbDzacuV88cB8DIxARDIyMC\nu/fD0NAI99r18KxTn2vnT5Wpr9TYZGuJcU4pfbCsGD9t58DJeGYs2cHaLwdyectUbiU9IjNHQdKD\nsm8wWbJcjUSm1DGSk0ulErbWFs/GSK6a3YppvVHk5fPJN1uKtrVu6MWM/7Wn7YeLqdR8Mu3+t4RF\nk3pQV0d1U/sYlpKZo3ltysrJfW6MvPgY9nCuyuaooYz5ciPHL9zSaV/RrzHlRaGy/P8qGjqTh2c/\nxd2tWze6devG4MGDmThxos6G8/OLM+h169axYsUKRo4cyY8//sjWrVv/lthrdx5gZGiAu3PVom1+\nNasTp6XUF3cjBb+axaVbf5/qPHicSVqmTGc7l2+k4O/jXLTP3MwED+eqXNZRtntV+v4u124/VLVb\nYl7Vz9uJuATNzxWXcA+/msXfcP1rFut7UQwNDTA3M8HJzrpsfa/Qf66OtsQsHMmMxTtYt7PsG15J\nzCo7oiwsVFu7ILt/G7NqzmUcpUJZWEBummoK0MjMAuNKpc+/S+2efXsvvmpI9NBX1dGFwsICHt0r\nntJJuX0De+caehxN2W+7kUhQPtXj6Ob51Fyptl8XxbHRtw+WiHFNZy0xLr2dpRuO4N9tBh7tIti8\n7wJGhgZc0jGGrt1JfTpGimPj5+1I3HMLdgHibt7Hz7t4GsS/piMPHmepjZFFk3tQxcacPhN+UVuf\n5O/lyJ9nb3L+6bTCmStJnLycSGDDst+ho3UM13TSOqUQl3APP++/P4ZdHWyJmT+cGUt3sa6Up2H0\n0leBrjGCfw6dyUPTpk3Zv38/kZGRBAYGYmdnx5AhQ3Q2XFhYSHp6Ok+ePKGwsJDKlVWD0dzcHEND\nw78lVibPI3rfeSJGdEBqZkzTNzwIbeHHmhjNueDV204woGtTfNztsbGSMmFwCKuij+vVzpb95/H1\ndKRza39MjI2YPKw9F+Lvcv1O2Y8BvSp9AMZGhpiaqCpApsbGmBjrrgbJFHlE748lYngIUlNjmtZz\nJ7R5HdZs17x5ro45xYDOjfGpYafSN7Atq7YWn9/AQIKpiRGGBgYYGRpgYmyIgYHq5tG6kTf+NZ2Q\nSCRYWZgy9+MuPEnP4YqWC/Dr8J9TNWu2LxrNwrWHWLHpqE6/lcTA2BQbn4akHPqNwjwFWYlXyLh+\nhsp1Nd+6+vjSn+RmqMrUuekPSTm4DqsadYv2V/FvxcNTO8nLziBflsWDk9ux9lItzLN09cXEugr3\nj0ajLCwkK/EqmXcuY+XhX6Y+E1Mz6jRqwZ71K8hVyLl15QJxp49Sv0Wwhu3Vc3+Rla56wuNB0m32\n/f4ztRuqphTlOVnEnz9Jfl4uhYUFnD28h1txF6j5hmpBWw1ff6yr2nNw82oKCwu4dSWWhEvn8K6n\nufCxJDJ5HtH7LxAxPLREbOqyJuakhu3qmJMM6NIEnxrPYhzMqi1/6dWOibFh0Ty7i4Mt86f0Zt6v\nB8nIKrt6KFPkEX3wEhFD2qrGiL8boW/7smaH5s1z9Y4zDOjYEB+3aip9AwJZFVM8lr4f1xUft2r0\nGLuKvHz1tSSn4u7yVj03/LxUyUe9mk685e9GrI4vKKoxfIGI4e31GMMnGdClxBgeVNoYlmiMYadq\n1mxfOIKF6w+zYvPxMjVp6qu415jy4r+45kGi1KEqMTGRdevWsXHjRjIyMhg+fDhhYWFFyUBpBAYG\nIpFIip4f//XXX7GzsyM7O5uwsDCio6P1EiitP1Lt/yWf33+UlsWUqGg27D6Ds70NpzdMJqD7jKLS\n5MiwVoz5IBgzU6My3wNQsp1ntGxYk+8m9MLFUfWeh6HTNN/zIDs777Xpi9sWiYuDegx8O05T0yg7\nOw9pw0809T19BvtRWjZT5m1jw55zKn1rxxHQew5JT1eIj3y3BWPeD8TMRPMZ7EmDg5k8JFjti+qM\nZbuZtWw37wT6EzG8PU7VrJEp8jh1+Q4R82M0Kjeyk9+8Fv9NHBrC5KGhZMtU5dFn/dS++ViN+AL0\nWan+jLr6ex6scGodhm3tpuRmpBK3ZCy+Q7/CpFIVkg+s43HsQdW0hpkF1p71cWzVByOpJaCqRNzd\nvZInl48gMTLB1rcJToF9MTBUJYLy1CTuxCxC9jARk0pVcWrVB+uaxavW175fH4CN59W/TZd8z4N5\nJWva9x2Gf9NA0lIf8N2YAYR/8xPWVezY/vNCzh7aTa5CjqW1LfVbBBPYvR8GBoZkZ6Tx06wJPExO\nxMDAgGrVXQnuMwjPusVPHTy4e5vfF83l3p0EbKvZE/zuEGo3UH/fRbd6jkjf/Egzxk/fz/AoLYsp\n329lw56zqhivn0hAz5kl+mBLxgwIUsW4jPc8lGwHoJKlGXuWjsa9ehWychSsjD7OZwu38zyy01FI\n35qgqe/pex4epecwZf4ONuy9gLOdNafXhBPw7jckPVS9L2Jk77cZ068VZiZGau95cLG35srG8chz\n8ykoUA0SJUpGzdlU9M6Iod2aMKpPM6rZWpKalsWiDceYt+6Iur5js5E2CNfU9/Q9D4/Sspnyw9bi\nMbxuPAG9Zj83httgpuU9D5OGtNMcw0t3MWvZbiYODmbykHZky1RTMBKJqihl30q96iw79S2A2nWm\nol1jXgX9Vmt/D8g/yc9965X7OV6EUpOHPXv2sHbtWi5dukTbtm0JCQlh6tSp7Nu376VOKJPJSE1N\nxcXFRS/7528uFQltyUNFQlvyUJHQljxUJEpLHioKpSUPFQltyUNFQlvyUJHQljxUJLQlDxWJV5U8\nvPdL+ScPv7xXsZKHUmvdo0aNIiQkhHXr1uHmpnq5jESPOU1dSKVSvRMHgUAgEAgEFY9Sk4ctW7aw\nadMmwsLCqF69Oh06dKCgoKA0c4FAIBAI/pNUxDUJ5U2pCyZr1qzJ+PHjOXToEEOHDuXEiROkpqYy\ndOhQDh48WNphAoFAIBAI/p+jc4m+oaEhQUFBBAUF8fjxY6Kjo/n6669p2bLlq9AnEAgEAkGFpiK+\nh6G80fmoZkkqV67MBx98wJYtW3QbCwQCgUAg+H+J7pcDCAQCgUAgKBWx5kEgEAgEAoFAB6LyIBAI\nBALBS/DfqzuIyoNAIBAIBIIXRFQeBAKBQCB4CQrFmgeBQCAQCASCshGVB4FAIBAIXoL/YOFBJA8C\ngUAgELwM4lFNgUAgEAgEAh2U+pPcAoFAIBAIdNNt+elyP8fGQW+W+zleBFF5EAgEAoFA8EJU+DUP\n0oDRr1tCqcjOfI+0yfjXLaNUZMfnIH178uuWUSqyIzOQ1h/5umWUiuzsPACkjT59zUq0IzvxFQDS\nFpGvV0gZyA5FIst73SpKR2oM0gbhr1tGqchOfVth+x+U6IMNP3nNSrQjO/nNKzmPeFRTIBAIBAKB\nQAcVvvIgEAgEAkFF5j9YeBCVB4FAIBAIBC+GqDwIBAKBQPAS/BcfWhSVB4FAIHPduCYAACAASURB\nVBAIBC+EqDwIBAKBQPASFP73Cg+i8iAQCAQCgeDFEJUHgUAgEAheAiX/vdKDqDwIBAKBQCB4IUTl\nQSAQCASCl+A/+LCFqDwIBAKBQCB4MUTlQSAQCASCl0C850EgEAgEAoFAB/+65MHGSsq6rwbx8M8v\nids6jV7tAkq1HdW3FQm7Pifl4GwWTH0XIyMDvdpxdbQl+9R33D80lweH53L/0FzGDQrWX9/sfjzc\nN524jePp1bZe6fr6NCNh22RS9kSyYFJ3jAxV+oyNDFkwqTtXNo3n3h+fcXTlaNo2qam1jYkD25B9\ndBYt3/TUU58Z62b25eGeCOJ+G0OvIP/S9fVuSkL0BFJ2TmHBhHeK9AEsn9qjaN+5NR/zfsfi35p3\ntbch+/Dn3N89lQd7Iri/eyrj+rfSU5+UdV8P4eGRr4nbFkmvkNJ/w35U39Yk7J5ByqG5LIgI04xv\nKe00rOvG1gX/4+7+Odz6YyY/z/4A+ypWeukranvu+zw8MIO4zZPoFfxG6RrfbU7C9ghS9n7Ogsk9\n1Xw4rEdT/vzpI54cnsWiKb00jh3QpRGxG8Zzf98XbPp2EA56arSxNGPdF715uHMSces+olebuqXr\n69mEhE1jSImZwIJxndX0PcPTuTKP90xm2aR3tLYx8f2WZB+YRssAd730ZaSnEz76f7zVsD6h7QLZ\nsX1bqbbzvv+W4DYtaN60IUMG9ufGjesA5OXl8lnEZNoHB9KsyZv06fkOR/48VHTc9pitNG1Un7cb\nB/B24wCaNHyD+n61uBJ3Wac+Gysp6778gIeHZhMXPYVe7eqXajsqrCUJOz8jZf9MFkzprR7fnm/z\n58pwnhyZy6KIPmrHNazjytZ5w7n7xxfc2jWdn2f217sPvqr+1z2oHmfWjuXevs859eundGxR5wX0\nfcDDg7OI2zyZXsFl+O/dFiTsiCRl3wwWTO6lxX8f8+TPOSya2rvUNiYODib7r69o2cBLL33lQaGy\n/P8qGv+65CFqYi/kufm4tJnEwCmriJrUCx93ew27oLdqEd6/DSHDfsCnQyQezlWZOjxU73aUSrBv\nMQ675uOwbzGOuct366dvbFdVu+2nMzByLVHj3sGnhp2mvsY1CX+vJSH/W4JP19l4VK/C1CFtATAy\nNCDxXhpBwxbhEDSN6Yt388uMvrjY26i1UcOpMu8E+pGSmqmXNoCoMZ2R5+bh0mEmA6f/RtSnnfFx\nq6apr5EX4WEtCBm1DJ/uX+JRvTJTB7cp2v/lzwfx7fkVjiFf0GP8z0wb0pZ63o5F+5VKsA/+HLu2\n07EP/py5qw7op29Sb5W+wAkMnLyKqEm9S4mvL+HvBxEy9Ht8QiOexreDXu3YVDJn+e9H8Amdik9o\nBFkyBYs/e09fFxI1rhtyRT4u7aYxMGINUeO7a49xk5qE92tNyIiF+HSeoYrx0HZF+5MfpjNr+R5+\n2nJC49jmAZ5EDm9P9zE/4tQ2gtspT1j5hX4aoz7poOqDnecy8PONRH3SER+3qpr6GnoSHvY2IR+t\nxKfXt3g42TJ1YGsNu28/DuVUXJLWc9VwtOWdVrVfqA/O/OIzTE1N2X/4GDNmfcmMzyNJuHFDw27X\nzu1sid7ETz//yqEjJ/Dzf4MpE8cBkJ9fgIOjIytWrubP46f5cORHjBvzMSkpyQCEdujE0RNnOfLX\nGY78dYZJU6bh7OJKLd/aOvVFTeih8l/bqQyMWE3UhJ6lxNeH8P6BhAybj0/H6Xg4V2HqsJCi/ckP\n0pm1fDc/Rf+lcaxNJXOWbzyKT6fp+HSaruqDEe/q5b9X0f8cq1ZieeS7jP02GofAqUz+YRs/fd6X\nKtbmuvWN764ae8ERT/3Xo2z/DV+AT6fPVWNYw397+GmLpv+eUaN6Zd4J9CflYYZOXYJ/ln9V8iA1\nM6ZLYD0iF8QgV+Rx7PxNth2IJaxDQw3bvh0asTL6OPG3HpCRJWfm0p3069RY73YkEjAwkLyYPlNj\nurSqS+TiXcgV+Ry7cJtthy4TFqKZefcNDWDl1pPE335IRracmcv/oF/HBgDIFHnM+nEvdx+kA7Dz\n6BVuJT+mfq3qam18N7Yrk+dtJy+/QH99LesQufQP5Ln5HIu9w7Y/4wgL0fzm0rd9fVZuO0X8nVQy\nshXMXLGPfqHF396v3HqIIjcfAIlEAijxqF65aP/f8t+zuMzf9jQuCU/j0khTX8dGrNx8jPhb91Xx\nXbKDfp2b6NXOnqNxbN57jmxZLorcfBatPUQTfw/9NJoa06W1H5GLdj6N8S22HbpEWHvNCknf0Aas\n3HKiRIz30K9TcR/bevASMYcv8yQjR+PY9m/7smnvBeJvP6SgoJDZy/fQrL47bk6VNWw19LXwJXLZ\nPlWMLyay7cgVwoI1K2B9Q+qxMuZscYxXHqRfqHpf6BlYl7RMOftP39R6vu/CQ5m8cA95Bfr1QZlM\nxt4/dvO/UR9jZmZG/YA3adW6Ddu2RmvYJicnUb/+mzg5VUcikdChU2duJqiSDKlUyrARI3FwVCWs\nLVq2onp1Z+IuXdJ63q3Rm+jUuYtOfar4+hO5YHvxteHgRcJCG2jY9u3QUHWNuf1AFd+lu+nXuXHx\nOQ9eJObQJa3x3XPsCpv3XSjug+v/pEm9GnrqK//+V93OmieZOez9Kx6AXUevkC3LxcNZMwnV1OdP\n5MIdKv9duFWG/xqwMvqvYv8t202/TsVjvSz/PeO7cd2Z/MM2va+B5YVSqSz3v4rGvyp58Ha1Iy+/\ngJt3U4u2xcYn4+vhqGHr6+lAbHxSCbsk7CpbYWMl1asdpRKuboskPiaSRdPCqKxHxu3tWlXVbtLj\n4navp+DrofnN2dfdnthrKWp2draW2FhJNWztKlvi5VKVywn3i7Z1C/RDochjz/F4nbrK1HftHr5a\nvtn7utsTe/2emp2drQU2VmZF2779pBOpf0zj3OqPSE7NZOexYi1KJVzd8Cnxv49l0cRuVK6k+bk0\n9dmRl1/4XFyS8PXUFl9HHfHVrx2A5m96EZeQonWfpsZqT334qLjta8naY+xhT+y1ZDW70mKsi2eJ\nWB0Ph7L1uVRRffbkJ8XnvX4fX3fN6pJvDTv1GF+/j52NBTaWqhhbmZsyZWArxs/bhURLHtitVW0U\nufnsOXFd789x+/YtjIyMcXF1Ldrm41OLhBvXNGxD2ncgMfEOt2/fIi8vjy2bN/J2sxZa232Umsqd\nO7fx9NIsXScnJ3H2zGk6du6qU5+3m7b4JuHrqel3Xw8HYuP/mfg2D/Ak7sY9nXavqv+djrvL1ZsP\naN/MF4lEQqeWdVDk5hF7PbnM47T7LxlfLf3W18PhpcZHtzb1UCjy2XPsil72gn+Wcnva4vz583h6\nemJpaYlcLmfJkiVcvnwZT09Phg8fjpWV/nPMz7A0NyUzW662LSNbjpWFqVbb9Cy5mp1EAlYWZjrb\nSX2STbN+X3H+ahJVrC2ImtiTFTPep8vIhXroU2i2a65Fn9TkOX0KlT5zU9IyZUXbDQ0N+DGyDz/H\nnOZ6oupmaCE1IXJ4O0JHLi1Tj7ZzZuY8py9HgZW5iXZ9JXyUkVNSn2p7+DdbCf9mK03qutI8wB1F\nnqoSkZqeTbPBCzl/LYUq1lKixnRmxbRedBmzsmx9WuMiK8V/pqRnyUrY6Yqv9nbqejsxYUh7eny8\nqExtxRpNSuk7Zpq20uf7oPYYa2P38Sv8NL0vSzceIyEplYmD2lJYqMTczLhsfdpinK0ovQ+W6K+q\nGEtU+rLkRAxqzYptZ0h5pDklYSE1IXJIG0LDy47p88hysrG0tFBvy8KS7OxsDduqVavxRv0AunYM\nwdDQCAcHB5b8qHm+/Px8Jk0YS6cu7+BWQ3PdxbYtm6kfoKpg6MJSqqXvZMmxMtcSX/Pnx7Bc7/iW\npK6XIxMGBdPjk2W69b2i/qdUKlmz4zQrP++Lmakxitx8+k78Gbkiv2x92vxX6jWwlDGshz4LqQmR\nI9oT+j/9xm15UwELA+VOuVUeJk2ahJmZqkPPmDGDzMxMBg8ejFQqZeLEiX+rzawchcYgsbY007hh\nP7OtVMLW2tIMpRIys+U628mR53Luyl2USiWpaVmEz9lAUBMfzM00b7Ka+tQHibWlmcbFHCBLlquu\nz+KpvudsV0T2QZGbzydfF5d1pwxuy+odZ4qmNfQlS5arMYitLUzJzMnVrq+ErbWFqVZ9AMcv3sHZ\nzpqh76hKtjnyPM7FJz/1Xw7h32wlqJGXzhuf9rhIS/GfgkqWZmp2ZcdXsx0Pl6ps/mEEY+b8xvHz\n2svymhpzNdu2kGpcMIs0auuDWj7P8xw4eZ0Zy3azdu77XN40iVvJj8nMUZCkI+ZaY2xpWnof1Iix\nkswcBf5eDrR+04Mffjuu9TxTPmjF6l3nufvgxeaapeYWZGWpJwpZWZlYWFho2C5eOI9LF2PZve8Q\nJ85cYOiI/zFkYH8UiuLPolQqmTxhLCYmJkyYNFXrObdt3ULnLt300pclK63vaIlvTu5zfVD/+D7D\nw7kqm6OGMubLjRy/cEu3vlfU/1o39GbGqI60HbaASk3H027EQhZN6UldL+3Vu5Ln1HptLW0M/019\nU4a2Y/X2U9y9n6bTVlA+lFvyUFhYiJGRqrBx8eJFJk+eTIMGDRg5ciSJiYl/q81rdx5gZGiAe4l5\nN7+a1bWWnONu3MOvplPR//19nHnwOJO0TNkLtfMMpVL3HP61O6mqdkvM/ft5ORJXYrqhSN/N+/iV\nWGDoX9ORB4+z1DLuRZN7UMXGnD4TfqawxHLbVg08+bDn2yRsm0zCtsk421nzy4y+hPfVXtLVqe+m\nHvq8HXnwJKuo6vA8RoYGamsenkc//5USlxva4puCX83ib5L+PtV1x7dEO66OtsQsHMmMxTtYt/NU\nmbrUNT586sMqJdouJcYJz8fYqUijPiz9/Rj+PebgETqdzftjMTI04JKO0va1xEcqfU62xfo8HYi7\n+VBT360H+HkVl7v9vRx48CSbtCw5zd9ww9XBmmu/hZOwaQwf92nKO61q8+eSoQC0CnDnw+6NSdg0\nhoRNY3CuZs0vkT0J79O0TH1ubjUoKMgn8c6dom3xV6/g4emtYRt/9Soh7TtQrZodBgYGdO7yDhkZ\nGSTcKJ4miZw6ibS0J3wT9QOGhoYabZw9c5rUhw8Iaqvf01LXbmuLr5PWKYW4hHv4eZe4xtSs/kLx\ndXWwJWb+cGYs3cW6XWf00/eK+p+/txN/nrnB+afTMmfi7nLy0h0CG2nGSU2fNv95OxGXUIr/av49\n/7Vq6M2HvZuTsCOShB2RONvb8Mus/oS/p7ng91VQqFSW+19Fo9ySB29vb37//XcAatWqRWxsLAA3\nb94sSipeFJk8j+h954kYHorUzJimb3gQ2qIua2JOatiujjnBgK5v4eNuj42VlAmD2rFqy/Ey21m9\nTbXquEEdV7xcVXPEla3N+WpsNw6eukaWjoxYpsgj+sBFIoYGIzU1pmm9GoQ282XNzrOa+rafYUCn\nhvjUsFPp+6ANq2KKb2Lfj3sHHzc7eny6UmMxUPuRS2nQ9xsa9/uOxv2+IyU1k5Gzf2fRhmO69R28\nTMTgNip9/m6Evl2LNTvPaerbcZYBHd/Ex60aNlZmTBjQmlUxqgtcVRtzerTxw9zMGIlEQlAjL3oG\n+bPvpGoxWwNfZ7xcVBePypWkfPVxRw6eSSBLS4VDTd+zuIzoUCIufqyJ0VwNvnrbCQZ0bVoc38Eh\nrIo+rlc7TtWs2b5oNAvXHmLFpqNlatLqwwOxRAxrVyLGtVmz47Smxu2nGNC5UYkYB7FqW3FfNTCQ\nYGpihKGBAUZGBpgYGxYlWCbGhkXz2C72Nsyf2IN5aw+ToeUbpoa+Q3FEDGqt0ufnSujbNVmz+7ym\nvp3nGdAhAB+3qthYmjGhfwtWbVf11WVbTlOnz/c0HriIxh8sYln0KXYcjafTmJ8BaP/xShq8v4DG\nH6j2pzzKZORXW1m0SXMslkQqlRIYFMyC+VHIZDLOnjnFwYP76dhJczFjnbp12bN7J48fPUKpVLJt\ny2YK8vNxcXUD4IvPIrh58ybf/bAQY2PtVcGtWzbTpm07pOa61ywV+W//BSKGt38aX3dCm9dhzXbN\nBHN1zEkGdGlcHN9BbVm1tbivFsdXgpGhenydqlmzfeEIFq4/zIrN2qs7pep7Bf3vVFwib9VzL0o+\n6tV04q167mrrtEr3XywRw0P08N8pBnQu4b+BpfnPQMN/7UcspEGfL2kc9hWNw74iJTWDkTN/Y9Fv\nf+rtS8HLIVGW0zLOzMxMZsyYwalTp7C1teXy5cs4ODjg6OjIlClTqFWrll7tSANGq/3fxkrK4mlh\nBDapxaO0LKZ8v4UNu8/ibG/D6d8mEdBjJkkPVKWskWGtGDMgCDNTIzb9cZ7Rs9aRn19YZjsAPYMD\n+GxkR6raWpKZLWfv8atMjorm4ZMsNS2yM98jbTJeU9/kHgQ28uZRejZT5u9gwx8XcLaz5vSvnxDQ\n5xuSHqpKzyN7N2NM/1aYmRixaX8so+dsIr+gEBd7G65sGo88N5+CAlV4lCgZNXsj6/do3gQu/z6O\nETN/5+Bp9cfdZMfnIH178nP6zFg8sTuBDT15lJ7DlIW72LA3VqXvl9EE9I0i6eljTyN7NWXMey1U\n+g5cYvSX0eQXFFLF2pw1X7xLXS8HDCQS7txLY/5vx1gVo7qA9Wzjx2fDgqlqa0FmtoK9J68zef5O\nHqapl6tlR2YgrT9S03+R7xXHJSqaDbvPqOK7YTIB3Weox/eD4KfxPcfomWvV46ulHYCJQ0OYPDSU\nbJkqGZRIJCiVSuybj1XXd3YeANJGn2pqnNqLwEY1eZSWzZR5MWz447zKh2vHEtDny6LphZF9mjPm\n/daYmRizad8FRs/+nfwClcZJg9syeXBbtfnSGcv2MGv5HipZmLFnyYe4O1UmK0fByq0n+WzRTnV9\nJ75S6WsRqa7P0ozFE7oQ2OBpjBfvYcO+SzjbVeL0yv8R0H9+cYx7NmFMWDNVjA9eZvTX24r0lWTS\ngJZ4OFVm8MxNGvsALq/9iBFzt3DwjPr0j+xQJLI8dduM9HSmTZ3E8WNHsbG15ePwT2nXPpR7KSl0\n79qBjdHbsXdwIDc3l2++msPePbuQyeW4urgy6uMxvNX0bVJSkgkNDsTU1BQDA4OiOE6ZNp32oR0B\nyM3NJahVM77+7gcaNmqMNqTGIG0Qru4/KymLI/oQ2NhHFd8ftrJhzzlVH1w3noBes4vj+24Lxrzf\nBjNTYzbtPc/oWb8Vx3dIOyYPCVaP79JdzFq2m4mDg5k8pB3Zstyn2p8+3txKfUpXdurb19L/AIZ2\nb8qod5tTrbIlqU+yWfTbEeatPayu71kfbPjJc/r6ENj4mb5txf5bO46A3nOe81+gSt/e84yevaGE\nvmBN/y3bzaxlmo/NX948mRFfrOPgKfXFu7KT32jYlgeB35f9xe2fYN/ot8r9HC9CuSUPz8jKyuLu\n3bvk5+fj4OBA1aplP+rzPM8nDxUJbclDRUJb8lCR0JY8VCRKSx4qCqUlDxUJbclDRUJb8lCR0JY8\nVCS0JQ8VCZE8lB/l/qimpaUltWrVom7dui+cOAgEAoFAUNGpKO95OHToECEhIbRr144lS5Zo7N+7\ndy+dO3ema9eu9OjRg9OnT+t97POIH8YSCAQCgeBfTmFhIZ9//jk//fQTdnZ29OjRgzZt2uDpWfzT\nBU2bNqVNG9Wbgq9evcrHH3/Mjh079Dr2ef5VL4kSCAQCgaCioVSW/58uLly4gJubG9WrV8fY2JgO\nHTqwd+9eNRuptPgFXDk5OUXrhfQ59nlE5UEgEAgEgn859+/fx9Gx+NFce3v7oqccS/LHH3/w9ddf\n8/jx46LpCX2PLYmoPAgEAoFA8BJUlDUP+hAUFMSOHTuYP38+33333d9uRyQPAoFAIBD8y7G3tyc5\nufi3Qu7fv4+dneavmT6jQYMGJCYmkpaW9sLHgkgeBAKBQCB4KSrCmgc/Pz/u3LlDUlISubm5xMTE\nFC2OfMadEm92vXTpEnl5edjY2Oh17POINQ8CgUAgEPzLMTQ0ZOrUqQwcOBClUkmPHj3w9PRk7dq1\nSCQSevfuza5du4iOjsbY2BhTU9OiaYvSji0LkTwIBAKBQPASlPO7FvWmRYsWtGih/htHffr0Kfr3\nkCFDGDJkiN7HloWYthAIBAKBQPBCiMqDQCAQCAQvQUWpPLxKROVBIBAIBALBCyEqDwKBQCAQvAT/\nwcKDqDwIBAKBQCB4Mcr9J7kFAoFAIPj/TNO5h8r9HEfH6f8kxKtAVB4EAoFAIBC8EBV+zYO0ecTr\nllAqssPTsR/82+uWUSr3l/VEWn/k65ZRKrKz8yq8Pqi4fVB2eDoA0g7fv2YlpSOLGY20QfjrllEq\nslPfcij+8euWUSotalZG+taE1y2jVGTHZgMgbfTpa1aiHdmJr17Jef6L9XtReRAIBAKBQPBCVPjK\ng0AgEAgEFZn/4tJBUXkQCAQCgUDwQojKg0AgEAgEL8F/sPAgKg8CgUAgEAheDFF5EAgEAoHgJfgv\nrnkQyYNAIBAIBC/BfzB3ENMWAoFAIBAIXgxReRAIBAKB4CX4L05biMqDQCAQCASCF0JUHgQCgUAg\neAn+g4UHUXkQCAQCgUDwYojKg0AgEAgEL8F/cc3Dvy55sLE0Y/HErgQ28CQ1LYdpS/5g/d5Yrbaj\ner1FeFgzpCZGbDp4mdFfbSW/oBCA5VO60bqBJ1ITI+4/zuLbX4+wMuZM0bEDOgYwJqw5dpUtOHrh\nDiPmbObeoyyd+qzNjfluQENa1rbnUaaCmZti2XQiUcPOx6kSkb3q4e9mi62FCU5DN2jYdG3owied\nauNc2Zz76TJGrzjJyeuP8Ha04oeBjahhZ4lSqeTC7SdMWXuOaymZuv1nJWVx5HsENqlF6pNMps3b\nyvqdp7X7r29rwt8PQmpmzKY/zjF65lry8wt1tuPjbs/yz/vj7lwVpRLOxt3h0y83cPXm/X+9Pvjn\n+uAzPJ0rc/Kn/7Fx/yUGz9gIgJGhASun9SDApzquDtYEj17BkfO39dRnyuKPggis70Jquoxpq46x\n/mC8dn1d3yC8+5sqfUeuM3r+/iJ9rtWs+O5/rWhcyxFFbj6bj95gzOKDKJXg42LL8k+CcXe0RqlU\ncvb6Qz5dcpCriU9067OSsjiiD4GNfUh9ksW0BTGs33VWu76wloT3D0RqasymvecZPeu3In3Der5N\nv46NqOPlyLpdZxg+fW3RcQ3ruBIxIpT6tZzJLyjk8OnrfPr1Ju4/0j1GsrMy+ClqBnHnTmJZyYZ3\n+g+ncctgrbYP7yWzdsk3xF88i7GJKW8HdaT7gA8B2B+zgSN/bCfp9g0at2zLgI+mqB0bd/4kaxZ9\nzZPUB7jXrM2Aj6ZQxc5BP/9N7kFgQy9S07KZtmgX6/ec1+6/Ps0I79tC5b/9Fxk9dxP5BYUYGxkS\nNbYrgQ29sLGSkpD0iGmLdrHneHE/GdCpIWP6tcSusiVHz99ixMzfuaeH/2yspCye2ovARjVV+hZs\nZ/3uc9r1vduc8H6tVfr2XWD07N+L49ujKf06NqSOpwPrdp1l+Bfri47r3a4+P0zoXjRdYGhogNTU\niKb9v+N8fLJOjYKX5183bRE1piPy3HxcOs1h4Be/EzWmIz5uVTXsghp5ER7WjJDRK/Dp+Q0eTpWZ\nOiiwaP+XvxzGt9e3OIbOosfENUwb0oZ63qqB2/yNGkQOCaL7hNU4dZjN7XtprJzWUy99c/oGoMgr\noHZ4NB8u/4s57wXg7WilYZdXUEj0yUTCfzqptZ0Wte2Y3M2P0T+ewGPkJrrMPcDth9kApDyRMXTx\nMWp9FI3vx1vYfT6FxUOb6KUvalJv5Ll5uAROYODkVURN6o2Pu72GXdBbvoS/H0TI0O/xCY3Aw7kq\nU4d30KudlIfp9B33I9Vbjce59Xi2H7rIqtkf/L/QB/9cH3zGt+EdORWXpLH9yPnbfPD5Br2SVjV9\nH7ZCnpePS9hSBn61m6gPW+PjYqupL8CV8O5vEjJxIz4frMDD0ZqpfRsX7f/uf614mCbDre8yGo/6\nlWZ1qzOsgz8AKY+y6Tt7B9X7LMH53aVsP5HAqnEh+umb0EPlv7ZTGRixmqgJPfGpYaepr4kP4f0D\nCRk2H5+O0/FwrsLUYcXnSH6Qzqzlu/kp+i+NY20qmbN841F8Ok3Hp9N0smQKFke8q5e+1Qu/wtjE\nlG9+2c7gMdNYvfBLUhJvadjl5+fzbcRofN9oyDe/bGfuimiatG5XrKFyNTr2+YBmbTtqHJuVkc7C\nWZN4p99wvluzCzevWiyZO1UvfVGfdkGuyMMl9HMGfraOqLFd8XGrpmEX1Nib8L4tCBm5FJ93ZuNR\nvTJTh7QFVMlp4v00goYvwqFtJNOX7OaXL8JwsbcGoHl9DyKHB9N97Eqc2k3ndsoTVk7Xz39R47oh\nV+Tj0m4aAyPWEDW+eynxrUl4v9aEjFiIT+cZeFSvwtShxf5LfpjOrOV7+GnLCY1j1+06i13rKdgH\nqv4+mruRhLuPXlvioFSW/19F41+VPEhNjenSojaRS/ciz83nWOwdtv15hbB2b2jY9m1Xj5XbzhB/\nJ5WMbAUzfzpAv9D6Rfuv3HqIIjcfAAmAUolH9coAtG9ak037LxF/J5WCgkJmrzxAs3puuDnalK3P\nxJDQgOrM2nwReV4hJ68/Yue5ZHo2cdOwTbifxdojt7ianKG1rbGd6/D1tsucu6X6JvcgXc6DdDkA\nWfJ87qTmAGBoIKFQqaRGNcuynQdIzYzpEliPyPnbkCvyOHY+gW0HYgnr0EjDtm/HRqzcfIz4W/fJ\nyJIzc8kO+nVuolc7GVlybic/UukzNKCwUImHs+bF7d+mD/7ZPgjQs01d0jJl7D+doLY9v6CQBb//\nxfGLiRQW6n/lkJoa0aWpF5GrjiPPLeBYXArbjicQ1rqWpr7AWqzcfYn46Tqo0gAAIABJREFUu0/I\nyMll5q8n6Ne2dtF+N7tKbDh8jfyCQh6my9hz+ja+rqoxkpGTy+37qr5raCChsBA8HK310GdMl9b+\nRC7Y/jQ2N9l28CJhoQ009XVoyMro48TffkBGtpyZS3fTr3NxcrP14EViDl3iSUaOxrF7jl1h874L\nZMtyUeTms2j9nzSpV0OnPoVcztmjB+j63lBMTM3wql2PNxo359j+HRq2R/fGYFu5GkGde2NsYoqR\nsTHV3TyL9td/qyVvNG6OhVUljWPPHDtAdVcPApq2wsjYmE7vDubuzWvcS7pTpj6pqTFdWtUlcslu\n5Ip8jl24zbbDlwlrH6Bh27d9ACu3niL+9kNV//txL/06vAmATJHHrB/3cvdBOgA7j17lVvIT6tdy\nBqD92z5s2hdL/O2Hqmvgin00e6MGbo6aSaiGvtZ+RC7a+VTfLbYdukRY+zc19YU2YOWWE0/1yZm5\nfA/9OjUs2r/14CViDl/WGt/nea9DA1Zv116hFJQP/6ppC2+XKuTlF3Azubg0GnvjPs3qad6cfd3t\n2Hr4SrHd9XvY2VhgY2lGWpbqJvxteAf6ta+P1NSIs/Ep7Dx2Tet5DSQSAOq423M7Ja1UfR72luQX\nKIsqBACXEtNoWlO/G9MzJBKo52bLrnPJHJsRgomRIbvOJRH52wVy84tL3lejumBuaoSBBOZsvqSz\nXW9XO/LyC7l5N7VoW2x8Es3e9NKw9fV0ZOv+C2p2dpWtsLGS4upYWa92kg/OxUJqgoFEwmcLY/71\n+uCf7YNW5qZMGRhIyOgVfNBJ8+L6d/CubqPSdy+9+Lw3U2nmV11Tn1sVth4vTlpiEx5iZy3FxtKU\ntCwF86LP0bOFN4dj71LZyozgBm5Erjqm1kbyuqFYmBpjYCDhs5+P69bnVk2lL+lR8XmvJdEswFPD\n1tfDga0HYkvYJWNna4mNlZS0TJnOc5WkeYAncTfu6bS7n3wHQyMj7Bydi7Y5u3sTf1FzWiXh6kUq\n2zkQFfkJt67FUb2GJ+8ODVdLIEoj+U4Czu7F/dHUzIxqTs4k30nAobprqcd5u1Z96r/HRdtir6XQ\nrL6Hhq2vuz1bD10utrueUqr/7Gwt8XatyqVSfGRg8PQa6OnA7ZTSp6a8XbXFN1m7Pg97th68qGb3\nd+Lr6mDL22+4M2z6Or2P+af5L655KLfKw6pVq0hJSflH27SUmpCZo1DblpGtughrs03Plhfb5SiQ\nSFCzDf82hqrBX9Dmf8uJPhSHIk9Vidj913XeaV2H2u52mJkYMXFAKwoLlZibGZepz8LUiEx5ntq2\nLHk+ljqOe55qlcwwNjSg45vOdJq9nzbTd1PX1ZbwDr5qdj4fReM9ahMT15zl0t3Sk5pnWJqbklnC\nJwAZ2bJS/GdKepashJ1c5T8LM73bcWo5DvvmYwmf8xux8Xf/9fpU5/3n+mDEoEBWbD1Nih7zyPpi\naWZMZk6uur6cXKykmn3Q0syY9OxcNTuJRFJke+RSMrXdqvDgt+HEr/iA0/H3ifnrplobTr2XYN9r\nEeELDxB786FufVItscmSY2VupmlrbkJ6Vgn/PYuxFl+XRV0vRyYMCmZi1BadtgqZDDNzC7VtUqkF\ncpnmt98nqQ85dXgvQZ1789Wqrfi9+RbzvxhPQUG+XueRWqhXC0s7T0kspSZkZj/f/xTa+5+G/571\nPxM1O0NDA36M7M2qbae4cVd10999PJ53Av2o7WGPmakREwe2UV0DTcu+llmam2gZe3KsLLTEV2pa\nir4Xi29Y6JscOXeTO/d0r7cR/HOUW/IQFRVFz549CQsLY/Xq1Tx+/Fj3QTrIkuVqdCxrCzONi/kz\n20oWpiXsTFEq0Wp7/GIiznaVGNpVVTI7cDqBGSv2s3ZGHy6vD+dW8hMyZbkkPdQ+xfCMbEU+Vs8l\nClZSY7KeSyh0Ic8tAGDp3mukZipIy85j0Z542vg7atrmFbLqYAI/DGxEZUsTjf0lycpRaAxia0tp\nKf5TUMnSTM1OqYTMbPkLtSNX5LFsw58sm96fKjYWGvv/TfpU5/1n+qC/lwOtG3jww2/HNI57GbLk\neRo3B2sLEzJlmn0wS55HpRK2Kn3KItst07uw+ch1KndbiHPYUipbmfHFB0012pHnFrBsx0WWfRJM\nlUqaNwm1c8pKi41c0zYn97kYm5U6hkvDw7kqm6OGMubLjRy/cEunvalUijwnW22bLCcLM6m5hq2J\niSletf2pE9AYQ0Mj2nXrS1Zmutb1ES9znpJkyXKxsniu/1mW0v9ynu9/z/ynnlyumNYbRV4+n3xT\nnFwdOHWDGcv+YO2s97i8YRy3kh6TmZNL0sN0yiIrJ1czvhZSjYRC9VkUVLJ4ufiCKnn4eZv2tWOv\nCrHm4R/ExcWFQ4cO8eGHH3Lp0iVCQ0MZNGgQmzZtIivrxRaAPeNa4iOMDA1wdyqed/PzciDuluY3\nnribD/DzLF657O/tyIMnWUVTFs9jZGhQtOYBYOnmk/iHfY9H1y/ZfOgyRoYGXEooezV+wv0sDA0l\nuFUrvgnVcbYudV1DaWTI8kh+ol62K6ssZmggQWpiiIONtMx2r915oPKfc/HiPr+a1Ym7oVkhiruR\ngl/N4lK3v091HjzOJC1T9kLtgOqbjbmZCU52Za8Zqej64J/rg83fqIGrgw3XNnxCwuaxfPzu27zT\nqjZ/Lh2mU0OZ+pLSVPocitcf+LlXJe72Iw3buNuP8HMv9pG/R1UepOWQlqWgspUZzlUtWbTtAvkF\nhaRlKVj1RxzBb9bQel5DAwnmpkY4VSl77c212w9V+qpXKdZX00nrlEJcwj38vJ2K9dUsjrE+uDrY\nEjN/ODOW7mLdrjO6DwDsnVwpKCjgQUpxJSrx5jWcXN01bJ1reCJ5OqX5oji5epCYUDxNqpDLeJiS\nhJOrZnm/JNfupD71X/G1ys/bkTgtTwrF3byPn3fxFw7/mo48eJyl5r9Fk3tQxcacPhN+0Vhbs3TT\nX/j3/hqPTjPZfOCi6hqoY+rn2h1t8XUkTsu1My7heX1OLxRfgLf8a+BQxYrN+7Q/7SQoP8oteZBI\nJBgYGNCsWTNmzpzJ4cOHCQsL4/DhwwQFBf2tNmWKPKIPxRExSPXoVlM/V0Lf9mHNLs3HgFbvOs+A\njgH4uFXFxtKMCf1bsmq7at6yqo05PQLrYm5mjEQiIaiRFz3b+LHvlGr+18TYEN8aqnUKLnbWzB/b\nhXnrj5GRXXZGLMstYPuZJMZ3qYPUxJBGXlUIrufEb8e1P2JnYmSAqZEBkqf/NjYsvhCtPXKTwYFe\nVLE0wdrcmGFta7L7vGolcQtfO+q4WCORgKWZEdN71yMtO5drKWUnKTJ5HtH7zhMxogNSM2OavuFB\naAs/1sRormZeve0EA7o2xcfdHhsrKRMGh7Aq+niZ7azepmqndWMf/GtWV5XALcyYO6YbTzKyuZJQ\n9oWnouuDf64PLttyijq9v6PxBwtpPGABy6JPsuNoPJ0+WVV0vLGRIaYmqmVJpsZGmBgb6qEvn+ij\nN4h4r7Hq0bXajoQ2dmfN/isatqv3XWFAcG18XGyxsTRlQp9GrPojDoDHmXJu3c9gSHs/DAwkWFuY\n8F6bWsTeVK0jaf2GC/4eVVVlZqkJc4c050mWgiuJZVcYZYo8ovdfIGJ4e5X/6rkT2rwOa7af0tQX\nc5IBXRrjU8NOFeNBbVm1tbgvGBhIMDUxwtBAgpGhASbGhkVz807VrNm+cAQL1x9mxWbdazGeYWpm\nRsBbLYlevRSFXM61S+e5cOIIb7Vur2HbuHUICVcvEXf+FIWFhezZ/CtWlWxwdKkBQGFBAXm5CgoL\nCykoKCAvL5fCAlVVsX6TliTfucmZYwfIy8tl66/LcfHwLnO9Q5H/Dl4iYkhblf/83Qh925c1OzST\no9U7zjCgY0N83Kqp/DcgkFUxxX7+fpzqKY0eY1eRl1+gdqyJsSG+7qonJFzsrZk/oRvz1v+p+xqo\nyCP6QCwRw9o9jW8NQpvVZs0OzcWMq7efYkDnRsXx/SCIVSUqCMXxNcDISD2+z+jboQGb98eSI899\nvvlXilKpLPe/ioZEWU6qunbtyubNm7Xuk8lkSKVlf0t+hrR5hNr/Sz5j/yg9hymL9rBh30Wc7Spx\netVIAvrNK5peGNnzLcb0bYbZc8/YV7E2Z83nvanraY+BRMKd++nM/+1Y0YW9koUpe+YNwt3Jlqwc\nBStjzvLZsr2an+PwdOwH/6a2Te09D1kKvvj9/9q78/CYzveP4+/JPhEEkUgQS5CmJCr2ndh3ilJL\nLa2iVW2qVUsSSi1tfdtaaitVFKVagtj3vSqIlBC1C0kkhCyTdeb3x0SSMZOtaTrj535dl+uSmTPP\n+cxz5sw8c5/nnLlI4J/3cCmj5OiMTrQM2MODxyoqlbXlz7ldedb5CuBubCKNJmtndZubKfhi4Gu8\n3tiV5LQMAv+8y8zNF0nL0NC9fkU+610HZ3slyWkZnL/5iFm/hXLluQpH1Ir+KOuN0+2/HNc/iI1L\nwG9+IJv3nqOSkz3Bm6fi3XcWEdHa+RPjBrVhwoiO2Fhb5HkdhZztAPRp/xoBY7vj4lgaVUoaZ/+6\nTcDCbVx+7pu/6vwik89XXK/B500Z3obqFctmXecBIGyjb9apc894vPEtdzNnyKuOzdDm67bguXzZ\n13mIfZqM36oTbD52jUoOdgQvGYL3mJ+JyDz9c1yv15jQvz42lvrXeahTtRzzRrfGs5oD6RlqjoTc\n4+OlR4h5qqJP8xoEDG2CSzk7VCnpnA2PImD1CS7f1h08qILGo2zgq7+NM6/zEBuXiN/C7Wzed0G7\njTd+hvcbc4nIfI7j3mzFhGHtsDFwnYcpozoxdVRHnZLurB/2MGfFXia/05GpozqRqNJ+qCgU2tKv\nU5vJuvnOfsvRcN3Mutd5KE3f4e/TsGV7Hj2MYtr7g/h88QbKOmg/WM+fOsLmVYuIfxqHq5s7g8d8\nkjV42LZhJTs2rNSuPFOPgSPp8ebb2u0bcpb1S+fx6GEU1dxrM8LAdR5a1SqLsukk/f7LvM5D7JMk\n/L7fxeYDF6nkWJrg9b54v/lN9utvQHMmDG2jff3luM5DZafSXPn9M5JT08nI0HagBg0ffLmFTftC\ntO+BS8ZQzaWs9j1wx1k+X76X56lOzQVA2egT3XyZ13mIjUvEb1EQm/eHaPP98ineA7/O3r4DWzJh\nWFtsrPSv8zDlnQ5MfaeD7vZdsY85K/cB2gHOzZ3TGPjZao6du66XDUB1Zp7B2/9tXgH7i30dF2f8\nsy/dxaXYBg83b96kWjX9Ul9hPf/GbUoMDR5MiaHBgykxNHgwJbkNHkxFboMHU2Jo8GBKDA0eTImh\nwYMpMTR4MCX/1eDB039fsa8jdGaHYl9HYRTbYYt/Y+AghBBCCNPzQl3nQQghhDA1Jjglodi9UFeY\nFEIIIYTxSeVBCCGEKAJTPBuiuEnlQQghhBCFIpUHIYQQoghewsKDVB6EEEIIUThSeRBCCCGK4PlL\ne78MpPIghBBCiEKRyoMQQghRBDLnQQghhBAiH1J5EEIIIYpArvMghBBCCJEPqTwIIYQQRfASFh6K\n7ye5hRBCiJdBzU93F/s6rn3dudjXURhSeRBCCCGK4GX8Dm7ygwel93hjR8iV6twClA18jR0jV6qz\n36KsN87YMXKlOr/I5PMBKDt8aeQkhqn2fQaAsoW/kZPkTnV8Jsr6Hxo7Rq5UwfNRNvrE2DFypToz\nj9N/xxk7Rq6a1LAHwP2zPUZOYtjVLzsZO8L/WyY/eBBCCCFM2UtYeJCzLYQQQghROFJ5EEIIIYrg\nZZzzIJUHIYQQQhSKVB6EEEKIIpDKgxBCCCFEPqTyIIQQQhTFy1d4kMqDEEIIIQpHKg9CCCFEEcic\nByGEEEKIfEjlQQghhCgCqTwIIYQQQuRDKg9CCCFEEbyMlYcXbvBgX1LJsmmD8GnyCjGPE5i2aDub\n9pwzuOwHg9vg+1Y7lDaWbNkfwvg5G0lPV+fbjqtzGcK2TyMhKRWFQvujJ/9bvZ+vVu4tWL6Agfg0\ndte2uziITXvOG843qDW+b/mgtLZky4EQxs/5lfQMbb7R/ZsztHsjatdwZuOec4yZ8UvW4yzMzVg9\nayjeHpVxdS5Dx9Hfc+L8jYL33/Qhmc87Xvu8dwfn0n9t8R3WPrP/LjB+9i+6/ZdLO+7VnFg58y2q\nVXJAo4HzYXf45OvNXL0ZZRL5LCzMWD17ON6vuuLqXJaOo+Zz4tz1AvUfgL2dNcsmdMWnflVi4pKY\ntuoomw6FGc74egN832iM0tqCLceuMn7+3qxtDNC/jQeThzSjsmMpIh8l8O7XOzl1KYKGrzgTMLwl\n9WpWID1DzbGQO3yy+ABRjxML0Ic2LJvcB58Gbtp8y/exaX+o4XxvNMV3UEttvsOXGD9ve1a+lX59\nadvADaW1BVGPEvh2/XFWB2n3kQEdvFj4ac+sN01zMzOU1hY0e3spIdce5JMvc997to98vyP3fXhQ\nG3yH5dxHNunvw7m0M7x3EyYMa49j2ZKcvHCDsTM3EBnztAD9p2SZ/xv4NKpFTFwi0xbvZNPeC4bz\nvdkS36FttfkOXmT83N+y9+F+zRjavSG13Sqwcc95xnyxSeexfdvXZeo7HXFxLMW9qCdMX7KLHUcv\n5ZsvMf4pK+Z/waXzZyhZ2p5+b42laRvDvx75MPI+Py/7H1dCz2FpZU2rDj14Y8T7pKelsXrxV1y+\n8CeJCU9xdK5Ev7fG4tWgKQCnDu/hp0Vzs9pRq9Wkpabw+fzVVHFzzzNfKaUFs/vVoVnNcjxOTOWb\n3dcIConUW66XtwtvNXelioMt8cnpBF2I5H+7w9FowNJcwbTer9K0RjlK21pwJ1bFt7uvcSw8BoDu\nrzkz4/VXs36QyswMbCzMeX3hKcLux+fbh6LoXrjBw/zJb5Ccmk7ldlOo90olfl8wmpDwCL0PpvZN\nX8H3rXZ0Hr2QyJinbPrfKPzHdGXaoh0FakejAadWEwufb1I/bbsd/LXtfjeKkKsRXL0VrZuviTu+\nb/nQefT3mflG4j+6M9MW7wTgfvQT5qzcS/smr6C0sdRbz4nzN1i4/gjr5g4rXL4pA0hOTaOyzyTq\nvVKZ3xeOIeTqPQP954HvsPZ0fncBkTFP2PTNu/iP6ca0RdvzbefBwycMnvgjt+/HAjB2YGvWzB1B\n4wFz9fIYI5+2/66zcN0h1n31dqH6D2D++I4kp6VTud9C6tV04vcv+hFyPZqrd2J1Mzaohu8bjen8\n6QYiYxPY9Pnr+A9rwbQfjwLg412VGSNbMeSLQILDI6lQtkTWY+3tbFi54wL7zt4kPUPNdx90ZNkn\nXek99df8803ooX0Ndp9LPXcXfv9qCCHXIrl6+6FuvkY18B3Uks7jfyQyNp5Ncwbh/7YP05bvB+Dr\nn4/y3leBpKSmU6NyOfYufJsL4Q8IufaAjfsusnHfxay2Bnd+jUnD2uQ7cACYP6k/ySlpVG4/VbuP\nzH83cx8xsA8P86Hz6EWZ+8g7+I/uyrTvd+TbTsv6NZj+Xnc6vruA63dj+N+nfVk96y06jV6Uf76J\nr5Ockk7lTtOo516J3799m5Dw+wb24Vr4Dm1L57FLiIyJZ9PXw/F/txPTluwC4P7DJ8xZuY/2TdxR\nWuvuw84OpVg5/U36TviRA3+E06nZK6yb8xbuPb8g9klSnvlWL/4KS0srFq3fza3rV/l2+sdUqV4L\nF9dqOsulp6fzld8HdOjRn/cnz8ZMYUZkxB0AMjIyKFfeiSlfLaNceScunDnO93OnMHvxBso5VqBp\nm046A5Lj+4PYtvHHfAcOANN6v0pKupqmMw5Ru2Iplo3wJuxBPDeidQe+NpZmzNp2hZC7TyhbwpKl\nw715u1VVVhy5hbmZggdxyQxeeobIJ8m0fsWB7wbXpfu3J3gQl8yOCw/YcSH7tdbb24Wx7aobbeDw\nMlYeXqg5D0obS3r51GX64iCSU9I4FXKTHYdDGdStod6yg7s1YnXgacJvRfM0IZnZP+xmaI/GBW5H\noQAzM0Xh8llb0qutF9MX78xu98hfDOrawEC+htp8t6N5mpjM7B/2MrRn46z7tx/5i6Cjl3j8VP+N\nJD1DzeKNxzh98RZqdcFftFnP+/sdmfluZD7vRvr5ujdi9dZThN+K0vbf8l0M7dmkQO08TUjOGjiY\nm5uhVmuoXqm8yeRLT1ezeMMRTofcLFT/ASitLejVvBbTVx0jOTWdU5ci2HHyGoPa19bP2L42q3df\nJPzuI54mpTL755MM7eiZdb/fW82Zve4kweHab2WRjxKJfKR9g9139iZbj4eTmJxGSloGSwODaVK7\nYgHyWdKr1atMX75fmy/0DjuOX2FQp7r6+Tq/xuqgYMLvxPA0MYXZqw4ztKt31v1Xbj0kJTUdAAUK\nQEP1imUNrndIl3qs223427lOvmfbZkmQ7j5icB9uyOqtz+3DPRsVqJ0uLV5ly/7zhN+KJiNDzdwV\ne2jh7UYVF8P5dfqvrSfTl+4mOSWdUxdvsePoJQZ1qa+fr2sDVm87Q/jth9p9eOU+hvbIfh7bj1wi\n6Nhlg/twRcfSPI5P4sAf4QDsOXmFRFUq1Ss55JkvJTmZ4JOH6fvWGKysbaj1al3qNWnFiUO79JY9\nvn8HZcqVp2OvgVhZWWNhaUmlqm4AWNvY0HvQO5Qr7wTAa41aUL6CCzf/vmJwvccPBNHcp2ue2UA7\nIOhYx4nv9lwjJV3NudtxHLgcTa96LnrLbvzjHudux5Gh1vAwPpVt5x/gXaUMAMlpar4/cJ3IJ8kA\nHLkSw71HKmpXLGVwvX3quxB47n6++cS/54UaPNR0dSQtPYOb92KybgsNv49HdWe9ZT3cKhAaHpFj\nuQgcy5bEvqSyQO1oNHB1x3TCg6azdNogypa2zT9flfLadiOyv4GGXovAw62Cfr7qFQgNv59jufs4\nlrHDvqQy3/X8U9rnrX7ueUfg4Wao/5zz6b/827l/5CsenfqGeZ/25cuVe0wu3z9Rs1JZ0jLU3HwQ\nl932jYd4VNF/0/eo6kDojegcy0XjVKYE9nbWKBTgXbMCjva2hP40ivB1Y/nm/fZYWZobXG9LL1fC\nbsUYvE8nX+Vy2tfg/cfZ6/07Eo9qjvr5qjkS+nekznKOZUpgX9Im67ZvP+5OzD5/Lqz7gPsx8ew+\nFa7XjqtTaZrXrcL63YYPz+nky9r3cuwj4RF4VM9lH7mWYx8Jv49jmef34fzbATBTaL8I1M7nNVDT\n1dA+fB+P6k4G8jnp5ivEPhwcdo+rN6Pp0sIDhUJBj9a1SUlNI/TvvD8AIyPuYG5hgZNzpazbXKvV\nJOK2/mHL61f+opxjBf437SPGvdmJuZPf494tw4fnnjyOJer+XSpVqa53X0z0A8IvXaB5u/wHD1Ud\nSpCWoebuI1XWbVcexFPTyS7fxzasVoZrUQkG7ytnZ0UVB1v+NnC/i70N9auVYWuwEQcPmv/gn4kp\ntsFDamoqW7du5eTJkwBs376dGTNmsG7dOtLS0v5Rm3a21sQnJuvc9jQxmZIlrA0u+yQhWWc5hQJK\nlrDJt52Yx4m0GDqPWt2m02zwPEraWrNqVv6HB+yUBtpNSKakrY3+srZWhvPZ6j+Xf4vh560yuE47\npTVPElQ5lsuv//TbcWk9EaeWn+L75a+Eht8zuXz/hJ2NJfFJKbptJ6VQUmllYFkrniRmL/s08/8l\nlVY4lSmBpYU5vVvUwuejdTQes4q6NZyYNKiZXjt1qpVn0pBmTF5+KP98tlb6+RJTcunD516DSSl6\nr0Hfb3bg0GEm7d5bQeCRy6Skpeu1M6hzPU6E3OZO1JMC5CvsPlyYbZzdzt6TV+jTvh6vujljY23J\n5FGdUKs12NrobyfddVrl0q6BfVj5/HuMfv/lRqPRsH5XMKtnDubJibn8+Pkgxs35jeQU/f7NKSU5\nCaVtCZ3bbGxLkKzSr248io3mzNH9dOw1kPk/B+HVoBnfzfyUjAzddWRkpLNs3nRatOtOhYqueu2c\nOLCTWrVfw8Ex/8F3CWtzEp97DgnJ6ZSwNjwofqZvg4rUrlSKH4/e0rvP3EzB1wM92RIcwa0Y/efZ\nu74LwTcfcz8uWe++/4pGoyn2f6am2AYPkydP5vDhw6xZs4ZPP/2U3bt34+XlRWhoKH5+fv+ozYSk\nFL2duLSdDfGJKQaXLZVj2dJ2Nmg0EJ+YnG87ScmpXLhyD41GQ0xcAr5fbqZ9E/d833gSVIbaVRKf\npP+iTkhKpZSdgXxJ+s/l32L4eSsNrjNBlfJcPmU+/We4neSUNFZsPs6KGW9Rzr6E3v3GzldYCclp\neh8OpUtYE69KNbBsKqVyLFu6hDUajYZ4VSqqzDfY77cG8zAuicfxySz47U86NdL95lfdxZ6ts/oz\nYdE+Tl+OID8JSan6+eysc+nDVN19pIR1rq/B03/dpZJjad7trX8IaVDnuqzdlX/VQZsvl23zr+zD\n2e0c/jOcWct38cvXI7m8zZ9bEbHEJ6UQER1HXhKSUvXbLaHUG1BA5mvQUL4CvM7aNqzJrA+602H0\nYko1+4xOY5ew1K8/dWrk/QFtbWOLKkl37oAqMQEbpX5l1MrKmlq16+Lp3QRzcwu69h1CYvwT7t+9\nlbWMRqNh2bxpWFhaMnTMBIPrPHFwFy3ad8/3OQEkpmRQwlp3Kl1JGwsSUzJyfUy7Vx35qFNN3lkZ\nzBOV/hfLrwd6kpquZmag4UnJPeu58Lsxqw4vqWIbPISHh/Pdd9+xaNEiTpw4wYIFC+jduzdz5szh\n8uXL/6jNa3eisTA3o1qO44KetSoSdkN/klbY9Ug8a2UfZ/Nyr0T0o3ji4lWFaucZjSb/ORDXbj/U\ntluxXI52XQi7rj/TOOxGJJ41c+SrVTErX3HJ9XlfN9R/D/CslX2M3cu9Yv79Z6Ad0M57sLWxwsXR\n3iTzFca1e4+0bTtnPxfP6o6E3dY/pBB2KwbP6tmHC7xqOBEdl0hxsQ49AAAgAElEQVRcQgpPElOI\niNGd3PX8twtXx1IEzR3ArLUn2JjL2Rx6+e7GavO5lMnOV8OZsJvResuG3YzGs0Z2md+rpjPRjxOI\nizf8Dc7C3ExvzkNTT1cqlCvJ1sP5nyUAObdxjn2kpgthN3LZR3Ju41qG9uHc2/lh8wm8Xp9F9U4B\nbD14EQtzMy7l8xq4dsfQPuxM2A39M4XCbkThWTP7w96rlkuB92Gvmi4cP3edkMxDl+fC7vHnpTv4\nNKqZ5+MqVHRFnZFB1IPsSt6dm9eoaOBwQ+WqNYC837NWzv+C+CdPGD/1S8zM9asD4ZdDePI4lobN\n2+b7nABuxSRiYaagctnsQzevOJfM9XBEy1oOzHj9Vcb8dI7r0fpnEs3uV5sytlZ8sPYChqYneVex\nx7GUNXtD8z+TqzhJ5eFfpNFoSE1NJTExEZVKRXy89o0yNTWV9PS8S3O5USWnEXgwhIAxXVHaWNLs\ntep0bVWH9UF/6i27LugMw3s3xb2aE/YllUx6uxNrtp3Os511O84A0KC2KzVctRP8ypa2Zd6nr3Pk\n7DUS8vlGoUpJI/DQRQLGdEFpbUmzutXo2rI263eeNZDvT4b3aox7VcfMfB1Ys/1M1v1mZgqsrSww\nN1NgYW6GlaW5zuDF0sIcayvtCN/ayiLXY+UG+29stxzP25P1QWf0ll234wzDezfL7r93OrMm8HSe\n7Tzrv7aN3fGqVRGFQkHJEjZ8NeF1Hj9N5IqBD4j/Ml/OdnT6z9ISK8uCnXikSkkn8Hg4AcNaaE9N\nrF2Rrk1qsH6//ofnuv2XGN7FE3fXctjbWTNpUFPW7Mk+ZXLNnlDe61Ufh9JK7O2s+eD1huw8/TcA\nLuXs2PnVQJYEnmPVrpACZdPmSyPwaBgB77TTvga9XOna3J31e/TbWLf7AsO7e+NepTz2JW2YNKw1\na3ZqKwgO9rb086mDrY0lCoWC9o1q0L+9JwfP6h4zH9zlNbYevkRScsEORaqSn+0jBdmH/2R4rya4\nV322jTuyZtsfBWrHytI8a/5D5Qpl+N5vAIs2HOFpQt6lbVVKGoGHQwkY3SlzH65K1xavsn6X/unC\n63aeZXjPRtn78Ij2rNmR/Tyy92EzLCx09+GzYXdpWrda1uCjbi0XmtatRmg+Z6tY29hQv1kbtvy8\nnJTkZMIvXeDCH8dp3raL3rLNfLpw/epfXA45i1qtZveWDZQsbY9L5aoA/LRoLg/u3uajgHlYWOqf\n0QXasywaNGuLtU3B5mIlp6nZ+1c0H3asgY2lGfWr2tPWw5HA8/qVgSZuZfl6oCfjf77ApQj9U2g/\n7/Mq1RxLMHb1OdIyDH949q7vwp7QKFRpuVc2RPFQaIppSPPTTz+xdu1a1Go1I0aM4MCBA1SuXJmQ\nkBA6derEuHHjCtSO0nu8zt85r88QG5eA34JtbN57nkpO9gT/OgXvfrOzSpPjBrVhwvD22Fhb5Hmd\nh5ztAPTv6M3n47rjUMaO+MRkDpy+ytT5gTx8rDt6Vp1bgLKBr36+zOs8xMYl4rdwO5v3XdDm2/gZ\n3m/MJSJae2x43JutmDCsHTYGrvMwZVQnpo7qSM6tM+uHPcxZob3WRFigH5UrlNFZt0fPmdyNyi7L\nqs5+i7Kebj/nvP5BbFwCfvMD2bz3nDbf5ql4952l238jOmb2X+7XUcjZDkCf9q8RMLY7Lo6lUaWk\ncfav2wQs3Mbl5771qc4vMko+gLAd06lcQfdbtEf3adyNzJ5oqDqvPa1P2eFL3Yw5rvMQ+0SF34rD\nbD5yhUrlSxL8w9t4v7Myq6owrk8DJgxsjI2V/nUezM0UzHu/PQPavkpyahqbD19h6orDpKWrmTyk\nGVOHNCcx80P52fVGnHp/l51v32fafC38n+vD7Os8xD5Jwm/JXjYf/ItKjqUIXvsB3kMWEvFQ+2Y9\nrn9TJgxpqc2X4zoP5Urbsv6LgdRxc8JMoeBO1BO+//UUa4Ky+9DK0pybgRMZOHUDx87fwhDV8Zko\n63+ov40zr8+g3fe2s3lf5j68aTLe/Wfn2EdaZ+/DeVznIWc7AKXsbNj3w3iqVSxHQlIKqwNP8/mS\nnfr5guejbPSJfr7M6zzExiXityiIzftDqORYmuBfPsV74NfZ+Qa2ZMKwtthY6V/nYco7HZj6Tgfd\nfXjFPuas3AfAu32b8cGbLSlf1o6Yx4ks/fUEi345ppvvzDxO/617qEXnOg+l7HljxPs0btWB2IdR\nTBk7kDlLf6Gsg3aCZ/CpI2z8cQHxT+Ko4ubOW2M/xcW1GrHRkUwY2RtLKyvMzLK/eAwfNynrFM20\ntFQ+HNKND6bOxcNL/2wTgCY1tBU498+yJ0TrXuchjXm7wtl1MZIKpW0I+rg5Xb85TtSTFFaPaoB3\n1TKkpquzXt9nbz5m9E/ncLa34eBnrUhJV6PO7ECNBgJ+v5R1zQhLcwXH/drywdrznLnxWD8ccPVL\nw9e/+Le5jPm92Ndxf+nrxb6Owii2wQNAVJS2lOTk5MTTp085efIkLi4ueHl5FbiN5wcPpsTQ4MGU\nGBo8mBJDgwdTktvgwVTkNngwJYYGD6bE0ODBlBgaPJgSQ4MHUyKDh+JTrBeJcnLKPr2pVKlSdO7c\nuThXJ4QQQvz3TG9KQrF7oa7zIIQQQgjje+EuTy2EEEKYElM8G6K4SeVBCCGEEIUilQchhBCiCKTy\nIIQQQgiRD6k8CCGEEEUglQchhBBCiHxI5UEIIYQoAqk8CCGEEELkQyoPQgghRFG8fIUHqTwIIYQQ\n/x8cPXqUzp0706lTJ5YvX653/40bNxg4cCCenp6sWrVK5z4fHx969uxJ79696devX77rksqDEEII\nUQSmMOdBrVYzc+ZMfvrpJxwdHenXrx/t2rXDzc0taxl7e3v8/PzYv3+/3uMVCgVr166ldOnSBVqf\nVB6EEEKIF9zFixepUqUKFStWxNLSkm7dunHgwAGdZcqWLUudOnWwsNCvG2g0GtRqdYHXJ4MHIYQQ\nogg0Gk2x/8tPVFQUzs7OWX87OTkRHR1d4OegUCgYOXIkffv2ZdOmTfkub/KHLVTnFhg7Qp5UZ781\ndoQ8qc4vMnaEPJl6PgDVvs+MHSFPquMzjR0hT6rg+caOkCfVmXnGjpCnJjXsjR0hX1e/7GTsCKKI\nNmzYgKOjI48ePWLEiBFUr16dBg0a5Lq8yQ8elPXGGTtCrlTnF6Gs/6GxY+RKFTzf9PvPxPMBKBv4\nGjmJYc8GrkqfWUZOkjvVwako25ru4EZ1yB9lw4+NHSNXqj+/Qdl0krFj5Ep1ai4AyelGDpILm//o\nE84U5jw4OTlx//79rL+joqJwdHQs8OOfLVu2bFk6dOhAaGhonoMHOWwhhBBCvOA8PT25c+cOERER\npKamEhQURLt27XJdPueAR6VSkZiYCEBSUhLHjx+nZs2aea7P5CsPQgghhEkzfuEBc3Nz/P39GTly\nJBqNhn79+uHm5sYvv/yCQqFgwIABxMTE0LdvXxITEzEzM2PNmjUEBQXx6NEjxo0bh0KhICMjgx49\netCiRYs81yeDByGEEOL/gVatWtGqVSud2wYOHJj1fwcHB44cOaL3uBIlShAYGFiodcngQQghhCgC\nU5jz8F+TOQ9CCCGEKBSpPAghhBBFIJUHIYQQQoh8SOVBCCGEKAKpPAghhBBC5EMqD0IIIUQRSOVB\nCCGEECIfUnkQQgghiuLlKzxI5UEIIYQQhSOVByGEEKIIXsY5Dy/c4MG+pJJl04fg0+QVYh7HM23R\ndjbtDja47AeD2+I7rD1KG0u27L/A+Nm/kJ6uzrcdCwszVs8ejverrrg6l6XjqPmcOHe94PmmDcKn\nsTsxjxOY9v0ONu05ZzjfoDb4DvNBaW3JlgMhjJ+zSTdfLu0M6FyfhVPe4Nnr1dxcgdLakmZD5hFy\nNcLo/dewThUC3utOPQ9X0jMyOHb2Gp98vZmo2PiC9Z8Jb9+stgMGZm+bxUFs2nPecMZBrfF9K+c2\n/pX0DG3G0f2bM7R7I2rXcGbjnnOMmfFL1uMszM1YPWso3h6VcXUuQ8fR33Pi/I2C5bOzYdnE7vjU\nr0ZMXBLTVh5i08HLhvP1a4TvgKYorS3YcuQK47/blZVvzzdDaOjhQlq6GoUCIh7GU2/EMgDcXcux\nclJPqrmUQaPRcP5aJJ8s2svVO7EFzNcDnwbViYlLZNqKQ2w6eCmXfI3xHdhU239Hwhj/7c7sfN8O\npaFHRd18w5dk959fH7zdnXF1sqej7xpOXLxTsP4rqWSZ/0B8GtfK3L472bQ3l+37Zivd7Tt383Pb\ntyG13TK378yNWY9zrVCGsMCpJCSlolCARgP/W3OQr1btL1i+qf3waVhD239L97BpX4jhfANb4Du4\nlTbfob8Y/9UW0jPUWFqYM//T3vg0rIF9SSU3ImKZtnQP+06HAzCgY10WTnwdTWY93tzMDKW1Bc1G\nLCIk/L7BdT3z9MkTAvyncPrkScqULcP4Dz+mS7fuBpddNP9bAgO3oFKpeOUVDyZPDcCtRg0Apkz6\nlD9OnSIlJZlyDg4MG/E2r/ftD8DFiyF8v3A+YZcuYW5hToOGjfhs0lQcypfPt//Ev+OFO2wxf8oA\nklPTqOwziZFT1zB/ygDcqznpLde+qQe+w9rT+d0FuHcNoHolB/zHdCtwOyfOX2fE1NVExjwtXL5J\n/UlOSaNy+6mM9F/L/Mn9ca9qKN8r+A7zofPoRbh3/1ybb3TXArWzcXcwjq0+w6m19t+Hc3/lxr3Y\nfAcO/1X/2ZeyZeVvJ3Dv6o971wASVCks+3xIwfrPxLcvwPxJ/UhOTadyB39GBqxj/qT+uFd11M/Y\nxB3ft3zoPPp73LvPoHqlcviP7px1//3oJ8xZuZefAv8wuJ4T528wwv/nwr8GP+qszdfnW0bODmT+\nR11wdy2nn69BdXwHNKXzxz/j/uYiqrvY4z88+0d1NBoNH87fjVOPeTh2n5c1cAC4HxPP4Bm/U7H3\nN1Tq8y07T11jjX+fAubros3X+3+MnL2V+b5dcXd10M/XsDq+A5vS2Xct7gMXUN2lDP4jWufIBx9+\ntwun7l/h2O2rrIHDMydC7zBi1lYiCzBo1cn3WV/ta6djQOb27Zf39h2zGPceMzP34ee37z5+2mZ4\n+2o04NR2Co5tpuDUdkqBBg4A8z/ppX1v6DqTkZ9vZP6nvXGvov+h2b5xTXwHt6LzuB9w7zOX6hXL\n4j+qA6AdXN2NiqP9mKVU6DCdGcv38vMXg6jsVBqAjXtDcGw/Daf203FqP50P523lRsSjfAcOALNm\nfo61lTWHj59i9tyvmTVzOjeu6w/O9+zeSWDgFlb/vIFjJ8/gVfc1pk6emHX/2++MZufeAxw/fZb5\ni5bw/YL5hIVpB8HxT57Qv/8Adu87yO59h7C1tSXAb3KB+q84aDSaYv9nal6owYPSxpJePnWZ/v0O\nklPSOBVygx2HQxnUrZHesoO7N2L11lOE34riaUIys5fvYmjPJgVqJz1dzeINRzgdchO1uuAbLavd\nJUGZ7d5kx5G/GNStoX6+bg1ZvfU04beitfl+2M3Qno0K3Q7AkO6NWBd0xmT6b9/JMLYeuECiKpWU\n1HSW/nKUJl7VTSbfP92+AEprS3q19WL64p2626ZrA/2M3RqyOvA04bejeZqYzOwf9jK0Z+Os+7cf\n+Yugo5d4/DRJ77HpGWoWbzzG6Yu3CvcatLagVwt3pv94mOTUdE5duseOE+EM6uCpn6+jJ6t3XSD8\nbixPE1OYvfY4QzvX1VlGgcLgeuKTUrkd+QQAczMFarWG6i5lCpav5SvZ+f66x44TVxnU0VA+L1bv\nzJFvzVH9fIbjafvv9z85feke6kK88WZt3yW7tNv34q08tm8DVgf+kb19V+xlaI/s12pe2/dZdjOz\nXJ5AXvna1GH68r0kp6Rz6uJtdhy7zKAu3vr5unizevtZwm8/1PbfjwcY2q0+AKqUNOb8eIB70dpt\nuPvkVW7df0y9VyoZXO+QLvVZt8twBTUnlUrFgf17GTf+I2xsbKjnXZ82bduxY7v+Lzbej4ignnd9\nXFwqolAo6Na9JzdvZA8y3GrUwNraWvuHRoNCAffuaKtHzVu2on3HTtiWKIG1tTUDBw0h5ILh6pAo\nHsU6eLh79y4rV67kiy++YM6cOWzYsIGEhIR/3F5NV0fS0tXcvBeTdVtoeAQebs56y3q4ORMaHqGz\nnGPZktiXVBaqncLny+DmvezSbWh4BB7VK+jnq16B0Gv3cyx3H8cyOfMVrB3XCmVoXs+N9Tv+LGC+\n/77/WtavQdiNByabrzBqVimv3TYRObbNtQg83HLZxjm+qYVeu49jGTvsSyqLnCPXfJXKkZah5ub9\nuOz1Xo/Co6r+N1OPquUJvR6ls5xTmRLY29lk3TbjnTbc/u0j9n83lBZernpt3A/8mEe7PmPeuI58\n+fOJQuR7/A/z2T2Xz4fbv3/M/vnDaFFXP19hGd6+9wu2Dxdy+2o0cHWbH+Hb/VnqP4CypW3zz+fq\nkJnvUY71PsDDQHXOo5oToX9n73ehfz/INZ9jGTtqVC7H5RtReve5VrCn+WtVWV+AwcPtW7ewsLCk\nsmv2tqjl/grX/76mt2znLt24d+cOt2/fIi0tjW1bf6d5C92fk54983MaN3iN3j26Ut7RkRatWuu1\nAxD85xncatTMN19xeRkrD8U252HNmjUcPnyYBg0a8Ndff+Hh4UFkZCRvvPEG06ZNo3Hjxvk38hw7\nW2viE5N1bnuaqKKkrbX+skprniSociyXjEIBJUvYFKqdoudLpmQJA/lsC5vPcDuDujfkxPnr3Il8\nrHdfwfIVb//VqenCpFFd6PfRUpPMV1h2SgNtJyRT0tZGf1lbK54kZC+bldHWmrh4ld7y/wY7pSXx\niSm6+ZJSKWlrZXDZJzmWfZr5/5K2VsQlJDN1+UHCbseQmpbBGz61+W3WGzQa9UNWxQHApdc32FhZ\nMKSTF3ejn+itQ3+dVvr5ElMoqTSUzyrvfMv2Z+drV4ffZg2k0TvLuR0Zp9dWQRncvonJhXsNFmD7\nxsQl0mLYt4SE36dcaVvmf9aXVTOH0Gv88nzy5dJ/hvLpvf5SMvNZ6eQzNzfjx+kDWBsUzN93Y/Ta\nGdTFmxMXbnGnAP2alJSInV0J3Rx2diQmJuot61C+PK/V86ZXt86Ym1tQwbkCP/y4WmeZKf7TmOwX\nQMiF85z98wxWVvqvk/CrV1i+dAkLvl+id58oPsVWefj111/54YcfeO+991i1ahV///03vr6+rFix\ngjlz5vyjNhOSUihZQvdNurSdkvikFP1lVSmUyvENpbSdEo0G4hOTC9XOv5Iv0UC+pBRKlciZzyb/\nfAbaGdS1IWu353/IIs98xdR/1Ss7sHXhWCZ8+SunQ26aXL5/IkGVW9vJ+ssmpT6XMXMb/ws5cs+X\npjfILF3CmvikVIPLlsrxoaPNp8laNvjqA5KS00jPULN+Xyin/rpH58Y19NpJTk1nxfZzrJjUk3Kl\n8v7WnaBKNZDPhniVoXypBc+39yKn/rpL5yb6+QrD8Pa1yf01aGgfLsD2TUpO5cLVCDQaDTFxifh+\n/TvtG9fC1kb/w1F3nQb6L7d8SamUyrFs6RLP8un29appA0hJS+fjb7YZXOegzvVYu9PwpOXn2dqW\nICFBd6AQnxBPiRIl9JZdtngRl/4KZd+ho/x5/iKjx7zPOyPeIiVF97koFApeq+dNZOQDNv2yQee+\nO7dv8/7Yd5k0xY/X6ukfuvmvvIyVh2I9bJGRkQFAampq1sjTxcWF9PT0f9TetTvRWJibUa1S9uQq\nz1oVCbuuXxIPu/4Az1oVs/72cq9I9KN44uJVhWrnn+XLnpzmWdOFsBuR+vluROrmq1XJQL6822la\ntxoVHEqx9YDhmda55yv+/nN1LkPQknHMWraLjbvPmly+f+ra7Yfativm2Da1XAi7nss2rumSnbFW\ndsbicu1erDafi312PjdHwm491M936yGebtnlbi83J6IfJxKXoD8QAtCgQZHLJANzMwW21pa4OJQs\nYL7s+RGeNZwKlq9GPvk0mlxmaBScwe2b5z78721fjSb/ORDX7sRk5iubI58zYTf1DzeE3YzCs2b2\noTqvWs5EP0rQybd0aj/K2dsycNLPBufWNPWqQoVypdh6KLRAz6FK1apkZKRz9072mS3hV68YPKRw\n9epVOnXtRvnyjpiZmdGzdx+ePn3Kjet/G2w7Iz2De3ez271/P4LRo0YwZuw4unbvUaB84t9TbIOH\nfv360bdvX/z8/BgwYACDBw8G4NGjR5QuXfoftalKTiPwYAgBY7uhtLGk2WvV6drKk/UGJguu23GG\n4b2b4V7NCfuSSia905k1gacL3I6lhTnWVtqjOtaWllhZ5n+ER5WcRuChiwSM6Zqj3TqsD9Kfj7Au\n6E+G92qCe9Vn+TqyJnNWdkHbGdy9EVsPhpCUrP+tzZj951K+NDuXjmfJL0dZteVkgbL9l/ngn21f\n0E40026bLtrTY+tWo2vL2qzfqT9A0m7jxrhXddRmfLsDa3JUiczMFFhbWWBupsDC3AwrS3OdDw+d\njFYWWFmaFyBfOoHHrhAwvLX21Lo6lejatCbr9+m/+a/bG8rwLnVxdy2HvZ0Nk4Y0Z83uiwCUKmFN\nuwbVsjINbFeb5p6V2XtGO6GtrXdVvNycssrgX73XgcfxKq7c0S97G8w34lm+ytp8ew3lu8jwrq/h\n7uqQma8la3aH5MhXPTtf+zo093LNyqftPzOsM/vM2tK8gP2XRuChUALGdC7A9j3L8J45tu/I3Lav\nmd72bfCqKzVctfM8ypa2Zd6EPhwJ/puEfKoWqpQ0Ao9cImBUB20+ryp0be5hcD7Cul3nGN69Ie5V\nymvzDfdhTVD281gwUXuWRr9P15CWnmFwfYO7eLP18F8kJafl23cASqWSdu07snjRfFQqFeeCz3Lk\n8CG69+ilt2ztOnXYt2c3sbGxaDQatm/bSkZ6OpVdq/Do0SN279pJUlISarWaE8ePsXtXEI2bNgMg\nKiqKd0cO581BQ+nb/40CZStWmv/gn4lRaIqxHnLt2jWuX79OzZo1cXNz+0dtKOuN0/k75/n7sXEJ\n+M0PZPPec1Rysid481S8+84iIlp7bG7coDZMGNERG2uLPK8DkLOdZ8J2TKdyhbI66/boPo27OeYW\nqM4vQln/Q/18mddniI1LwG/BdjbvO6/Nt2ky3v1nE5F5bHjcm62ZMLy9Nl8e13nI2c4zVpbm3Nwz\nk4Gf/sixYMMjdVXwfKP03+R3OzP13a4kqrRvhAqFAo1Gg1PLT3XznV9k8tsXQNnAVz9j5nUeYuMS\n8Vu4nc37LmgzbvwM7zfm5tjGrZgwrB02Bq7zMGVUJ6aO6kjOPXDWD3uYs2KvNmOgH5Ur6J7B4NFz\nJnejtM9fdfZbbT6fWbr5clznIfZJEn7LD7L5cBiVypck+MfReI9YRkSM9vTFcX0bMuHNZthY6V7n\noVwpJVvnDqRmpbJkqDWE341l+o+HOXL+NgB9Wr1CwIjWuDiURJWSxtmrDwj44RCXn6sgqA5ORdl2\npoF82us8aPMdYPOhy1QqX4rgVWPwHr4kR75GTBjUPDNf9nUetPnepGblctp8d2Iy893K3sbrx1HZ\nUfeLiseghdyNzj71VXXIH2XDj/W3b+Z1HmLjEvFbtCN7+/4yEe8BXz63fX2wsdK/zsOUdzrqb98V\ne5mzYi/9O7zG5+93w8G+BPGJKRw4c5WpC3bw8LHuhHLVn9+gbDpJP1/mdR5inyTh9/0uNh+4SCXH\n0gSv98X7zW+IeKh9juMGNGfC0Dba/stxnYfKTqW58vtnJKemk5GhDahBwwdfbsm6ZoSVpTk3d0xl\n4KSfOZbLNUZUp+YCkJyjmKxznYcyZfjw40/o3KUrkQ8e8HqvbmzZthOnChVITU3lf19/yYF9e0hO\nTqayqyvjP5pA02bNefz4EZ/4fkj41atoNGqcnV0YNPQt+rzeD4ClixexbMn3KJXaw2QajbYqdvKM\n7iDK5j+6klGJfquKfR2Jm0cU+zoKo1gHD/+G5z9cTImhwYMpMTR4MCWGBg+mJLfBg6nIbfBgSgwN\nHkyJocGDKTE0eDAlhgYPpuS/GjzY9v2x2NeR9NvIYl9HYbxQ13kQQgghhPG9cJenFkIIIUyJiRfw\ni4VUHoQQQghRKFJ5EEIIIYriJaw8yOBBCCGEKAqN2tgJ/nNy2EIIIYQQhSKVByGEEKIoXsLDFlJ5\nEEIIIUShSOVBCCGEKAqZ8yCEEEIIkTepPAghhBBFIXMehBBCCCHyJpUHIYQQoihkzoMQQgghRN5M\n/ie5hRBCCFOm7Lag2NehChpf7OsoDKk8CCGEEKJQZM6DEEIIURQvYQFfKg9CCCGEKBSpPAghhBBF\nIWdbCCGEEELkTSoPQgghRFHInAchhBBCiLy9NJWHo0ePMnv2bDQaDX379uXdd981dqQsU6ZM4fDh\nw5QrV47t27cbO46eyMhIJk6cSGxsLGZmZvTv35+33nrL2LGypKamMnjwYNLS0sjIyKBTp06MGzfO\n2LH0qNVq+vbti5OTE0uXLjV2HD0+Pj7Y2dlhZmaGhYUFmzdvNnYkHfHx8UydOpVr165hZmbG7Nmz\nqVu3rrFjAXDz5k18fX1RKBRoNBru3r3Lhx9+aFL7yU8//cTmzZtRKBTUqlWLOXPmYGVlZexYWVav\nXp31mjO195h8vYRzHl6KwYNarWbmzJn89NNPODo60q9fP9q1a4ebm5uxowHw+uuvM3ToUCZOnGjs\nKAaZm5szefJkPDw8SExM5PXXX6d58+Ym039WVlasWbMGpVJJRkYGb775Jq1atcLLy8vY0XSsWbMG\nNzc3EhISjB3FIIVCwdq1ayldurSxoxg0a9YsWrduzYIFC0hPTyc5OdnYkbJUq1aNrVu3Atr3m1at\nWtGhQwcjp8oWFRXF2rVr2bVrF1ZWVnz00Ufs3LmT3r17G0bCG2cAAAvgSURBVDsaANeuXWPz5s38\n9ttvmJubM2rUKNq2bUvlypWNHU3k4qU4bHHx4kWqVKlCxYoVsbS0pFu3bhw4cMDYsbI0aNCAUqVK\nGTtGrsqXL4+HhwcAJUqUwM3NjejoaCOn0qVUKgFtFSI9Pd3IafRFRkZy5MgR+vfvb+woudJoNKjV\npvkNKiEhgbNnz9K3b18ALCwssLOzM3Iqw06ePImrqyvOzs7GjqJDrVajUqmyBl6Ojo7GjpTl+vXr\n1K1bFysrK8zNzWnQoAF79+41dqyC02iK/5+JeSkGD1FRUTo7spOTk8l9+L0o7t27x5UrV0zuW71a\nraZ37940b96c5s2bm1y+2bNnM3HiRBQKhbGj5EqhUDBy5Ej69u3Lpk2bjB1Hx7179yhTpgyTJ0+m\nT58++Pv7m1TlIaedO3fSrVs3Y8fQ4eTkxIgRI2jTpg2tWrWiZMmSNGvWzNixstSsWZOzZ8/y5MkT\nVCoVR48e5cGDB8aOJfLwUgwexL8jMTGR8ePHM2XKFEqUKGHsODrMzMzYunUrR48eJSQkhL///tvY\nkbIcPnwYBwcHPDw8MOWfktmwYQNbtmzhhx9+YN26dZw9e9bYkbKkp6dz+fJlBg0axJYtW7CxsWH5\n8uXGjqUnLS2NgwcP0qVLF2NH0fH06VMOHDjAoUOHOHbsGElJSSY1v8rNzY1Ro0YxYsQI3n33XTw8\nPDA3Nzd2rILTqIv/n4l5KQYPTk5O3L9/P+vvqKgokyrZvQjS09MZP348vXr1on379saOkys7Ozsa\nN27MsWPHjB0ly7lz5zh48CDt2rVjwoQJ/PHHHyY5v+XZPlG2bFk6dOhAaGiokRNlq1ChAhUqVMDT\n0xOATp06cfnyZSOn0nf06FFq165N2bJljR1Fx8mTJ6lcuTL29vaYm5vToUMHzp8/b+xYOvr27cvv\nv//O2rVrKVWqFFWrVjV2JJGHl2Lw4OnpyZ07d4iIiCA1NZWgoCDatWtn7Fg6TPkbKWjPCKlRowbD\nhg0zdhQ9jx49Ij4+HoDk5GROnjxJ9erVjZwq28cff8zhw4c5cOAA33zzDY0bN+arr74ydiwdKpWK\nxMREAJKSkjh+/Dg1a9Y0cqpsDg4OODs7c/PmTQBOnz5tMhN2cwoKCqJ79+7GjqHHxcWFkJAQUlJS\n0Gg0Jtl/jx49AuD+/fvs27ePHj16GDlRIbyEcx5eirMtzM3N8ff3Z+TIkWg0Gvr162dSO86zb6Nx\ncXG0adOGDz74IGtimCkIDg5m+/bt1KpVi969e6NQKPD19aVVq1bGjgbAw4cPmTRpEmq1GrVaTdeu\nXWndurWxY71QYmJiGDduHAqFgoyMDHr06EGLFi2MHUuHn58fn3zyCenp6VSuXJk5c+YYO5IOlUrF\nyZMnmTFjhrGj6PHy8qJTp0707t0bCwsLXn31Vd544w1jx9LxwQcf8OTJEywsLJg2bZrJTogVWgqN\nqX/lFUIIIUyYst3sYl+H6sCUYl9HYbwUhy2EEEII8e95KQ5bCCGEEMXmJSzgS+VBCCGEEIUilQch\nhBCiKEzwOgzFTSoPQgghhCgUqTwIIYQQRaGWOQ9CiFxERERQp04d+vTpQ58+fejevTtvv/02UVFR\n/7jNLVu2MHnyZABGjx7Nw4cPc1124cKFBAcHF6r9V155Re+2RYsWsWjRojwf5+Pjo3NV1vwUpE0h\nxP8fMngQohCcnJzYsmULW7ZsYceOHdSuXZuZM2f+K20vW7aM8uXL53r/mTNnCv2rl//0h7hM+Qe8\nhDA5L+FvW8hhCyGKoEGDBhw6dAjQfluvW7cuV65cYd26dRw9epQ1a9ag0WioXbs2AQEBWFlZsXXr\nVpYuXUrJkiVxdnbO+pExHx8ffv75ZxwcHPj8888JDg7G0tKSsWPHkpqayl9//YWfnx+LFi3C2tqa\n6dOnExcXh1KpxM/PDw8PDyIiIvj0009RqVQF+mXRn3/+mW3btqFSqTAzM+Pbb7+levXqaDQaFi5c\nyJUrV7C2tubzzz/H3d2d2NhYAgICiIyMxMzMjI8//pimTZsWax8LIUyPVB6E+IfS0tLYtWsX3t7e\nWbe1bt2aXbt28ejRI3799Vd++eUXtmzZQtmyZfnxxx+Jjo5m3rx5rF+/no0bN2b9ngRkf9tfu3Yt\nKpWK3bt3s2rVKpYsWUL37t2pU6cOs2bNombNmnz22WdMnDiR33//nRkzZuDr6wvAzJkz6du3L1u2\nbNHJZUhCQgIHDx7k559/Zvv27bRr147169dn3V+tWjW2bNnC2LFjmTRpEgCzZs2iX79+/Pbbbyxe\nvJiAgACSkpL+tT4V4oUklQchRF6ioqLo06cPGo2GtLQ0vLy8mDBhQtb9z77t//HHH9y+fZsBAwag\n0WhIT0/n1Vdf5fz583h7e2f96mLPnj05ffo0kP3jaH/++ScDBgwAtD8IlfOnkzUaDUlJSYSGhjJ5\n8uSsxyQnJxMXF8cff/zBN998k9W2n59frs/Fzs6OefPmsWPHDm7dusWxY8fw8PDIur9fv36AdkA0\nceJEEhISOHnyJDdv3mT+/PkAZGRkcOfOnSL0qBDiRSSDByEK4dmch9zY2NgA2g/VLl26MHXqVED7\no0np6emcOnVKZ96ChUX2Lvis8pDzNoA7d+7g7Oyc9bdarcbGxkYnR1RUFPb29piZmWW1r1AoMDPL\nvbgYGRnJ0KFDGTJkCK1atcLBwYGwsLCs+83NzXWWt7CwQK1Ws3r1akqVKgVAdHQ0Dg4O7N+/P9f1\nCPH/nlxhUgiRl4L+jlyjRo3Yv38/jx49QqPRMG3aNFavXk39+vUJCQkhOjoatVrNzp079dpu0KAB\nu3btAiA2NpahQ4eSlpaGhYUF6enp2NnZUaVKFbZt2wbAiRMnGDJkCADNmjUjMDAQgD179pCamppr\nxtDQUKpUqcKwYcPw8vLi6NGjOgObZxWPffv2Ub16dWxsbGjSpAnr1q0D4O+//6Znz54kJycXqE+E\nEP9/SOVBiELI6yyEnPe98sorvP/++wwbNgyNRoOHhwfvvvsuVlZW+Pv7M3z4cGxtbalRo4be4wcN\nGsQXX3xBz549USgU+Pv7Y2trS8uWLZk+fTpffvkl8+bNIyAggBUrVmBlZcV3330HaH+2euLEiWza\ntAlPT888f9a4RYsWbNiwgW7dumFtbY2XlxfXrl3LynLr1i169+6NnZ0dX375ZVb7AQEB9OzZE4B5\n8+Zha2v7D3tTiP8nTHBOQnGTn+QWQgghikDZfGqxr0N1Ylaxr6MwpPIghBBCFMVL+B1c5jwIIYQQ\nolCk8iCEEEIUxUs450EqD0IIIYQoFKk8CCGEEEUhcx6EEEIIIfImlQchhBCiKGTOgxBCCCFE3qTy\nIIQQQhTFSzjnQQYPQgghRFHIYQshhBBCiLxJ5UEIIYQoipfwsIVUHoQQQghRKFJ5EEIIIYpC5jwI\nIYQQ4kV09OhROnfuTKdOnVi+fLnBZb744gs6duxIr169CAsLK9Rjc5LBgxBCCFEUGk3x/8uHWq1m\n5syZrFy5kh07dhAUFMT169d1ljly5Ah37txh7969zJgxg2nTphX4sc+TwYMQQgjxgrt48SJVqlSh\nYsWKWFpa0q1bNw4cOKCzzIEDB+jduzcAdevWJT4+npiYmAI99nkyeBBCCCGKQqMu/n/5iIqKwtnZ\nOetvJycnoqOjdZaJjo6mQoUKWX9XqFCBqKioAj32eTJ4EEIIIV5CmiKcYipnWwghhBBFoDq/yNgR\ncHJy4v79+1l/R0VF4ejoqLOMo6MjkZGRWX9HRkbi5OREWlpavo99nlQehBBCiBecp6cnd+7cISIi\ngtTUVIKCgmjXrp3OMu3atWPr1q0AXLhwgVKlSuHg4FCgxz5PKg9CCCHEC87c3Bx/f39GjhyJRqOh\nX79+uLm58csvv6BQKBgwYACtW7fmyJEjdOjQAaVSyZw5c/J8bF4UmqIc9BBCCCHES0cOWwghhBCi\nUGTwIIQQQohCkcGDEEIIIQpFBg9CCCGEKBQZPAghhBCiUGTwIIQQQohCkcGDEEIIIQpFBg9CCCGE\nKJT/Ay+FKr08L+ROAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1183b5c90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "\n",
    "plt.figure(figsize=(9,9))\n",
    "confusion_matrix = pd.DataFrame(data = cm_normalized)\n",
    "sns.heatmap(confusion_matrix, annot=True, fmt=\".3f\", linewidths=.5, square = True, cmap = 'Blues_r');\n",
    "plt.ylabel('Actual label');\n",
    "plt.xlabel('Predicted label');\n",
    "plt.title('Confusion Matrix', size = 15);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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9+hS7d++Gjo4O2rdvj/79+2PAgAEl1k6JiIiIiKhgHJ6aiIiIiKgUWFtbKyRI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Z09zq5lAfh5zjRuRV7jk8AZmJjmfML0Sth5bkddR61WE/v4ESsWfU9lr9qK38WYkJzG5pM3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\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euji8Bmfv36jYd5i75iDW7bqgsOyW4Kswd5oGC2fhZ/SCfxD+9JVaFIyBgulTAPBr4DFU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\n/T9AwtZOgfnAVQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115a36910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows = 1, ncols = 3, figsize = (27,81));\n",
    "\n",
    "X_train = train_dataset[:50].reshape(50, 784)\n",
    "y_train = train_labels[:50]\n",
    "regr.fit(X_train, y_train)\n",
    "fifty_score = regr.score(X_test, y_test)\n",
    "predicted = regr.predict(X_test)\n",
    "cm = metrics.confusion_matrix(y_test, predicted)\n",
    "cm_normalized = cm.astype('float') / cm.sum(axis=1)[:, np.newaxis]\n",
    "confusion_matrix = pd.DataFrame(data = cm_normalized)\n",
    "sns.heatmap(confusion_matrix, annot=True, fmt=\".3f\", linewidths=.5, square = True, cmap = 'Blues_r', ax = axes[0], cbar = False);\n",
    "axes[0].set_ylabel('Actual label', fontsize = 45);\n",
    "\n",
    "X_train = train_dataset[:100].reshape(100, 784)\n",
    "y_train = train_labels[:100]\n",
    "regr.fit(X_train, y_train)\n",
    "hundred_score = regr.score(X_test, y_test)\n",
    "predicted = regr.predict(X_test)\n",
    "cm = metrics.confusion_matrix(y_test, predicted)\n",
    "cm_normalized = cm.astype('float') / cm.sum(axis=1)[:, np.newaxis]\n",
    "confusion_matrix = pd.DataFrame(data = cm_normalized)\n",
    "sns.heatmap(confusion_matrix, annot=True, fmt=\".3f\", linewidths=.5, square = True, cmap = 'Blues_r', ax = axes[1], cbar = False);\n",
    "axes[1].set_xlabel('Predicted label', fontsize = 45);\n",
    "\n",
    "X_train = train_dataset[:5000].reshape(5000, 784)\n",
    "y_train = train_labels[:5000]\n",
    "regr.fit(X_train, y_train)\n",
    "five_thousand_score = regr.score(X_test, y_test)\n",
    "predicted = regr.predict(X_test)\n",
    "cm = metrics.confusion_matrix(y_test, predicted)\n",
    "cm_normalized = cm.astype('float') / cm.sum(axis=1)[:, np.newaxis]\n",
    "confusion_matrix = pd.DataFrame(data = cm_normalized)\n",
    "sns.heatmap(confusion_matrix, annot=True, fmt=\".3f\", linewidths=.5, square = True, cmap = 'Blues_r', ax = axes[2], cbar = False);\n",
    "\n",
    "plt.tight_layout()\n",
    "fifty = '50 Training Samples Score: {0}'.format(fifty_score) \n",
    "hundred = '100 Training Samples Score: {0}'.format(hundred_score) \n",
    "thousand = '5000 Training Samples Score: {0}'.format(five_thousand_score) \n",
    "axes[0].set_title(fifty, size = 30);\n",
    "axes[1].set_title(hundred, size = 30);\n",
    "axes[2].set_title(thousand, size = 30);\n",
    "fig.suptitle('Confusion Matrices', y=0.568, size = 55);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3 align='Left'>All Training Samples</h3>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 9min 31s, sys: 5.93 s, total: 9min 37s\n",
      "Wall time: 9min 39s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.89590000000000003"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "regr2 = LogisticRegression(solver='sag')\n",
    "sample_size = len(train_dataset)\n",
    "X_train = train_dataset[:sample_size].reshape(sample_size, 784)\n",
    "y_train = train_labels[:sample_size]\n",
    "%time regr2.fit(X_train, y_train)\n",
    "regr2.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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cDiOZTKJer2usKbJ++LQFsJnGJzfMlUoFu7u7+MlPfoIf//jHqFQqKJfLmpQp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mq1inq9jnK5jFar5UrAy+VScmwnkwlGo5HU22UeOGOn3LQr183C0QsFWiqM/VGRza+DwQD9fl8W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\nLCwsLHYAS8AWFhYWFhY7wP8HoszZYlwE7TAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1175fe650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pred_labels = regr2.predict(X_test)\n",
    "disp_sample_dataset(test_dataset, pred_labels)"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "default_view": {},
   "name": "1_notmnist.ipynb",
   "provenance": [],
   "version": "0.3.2",
   "views": {}
  },
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
